  The $\Lambda$ cold dark matter ($\Lambda$CDM) standard cosmological model is
in severe tension with several cosmological observations. Foremost is the
Hubble tension, which exceeds $5\sigma$ confidence. Galaxy number counts show
the Keenan-Barger-Cowie (KBC) supervoid, a significant underdensity out to
300~Mpc that cannot be reconciled with $\Lambda$CDM cosmology. Haslbauer et al.
previously showed that a high local Hubble constant arises naturally due to
gravitationally driven outflows from the observed KBC supervoid. The main
prediction of this model is that peculiar velocities are typically much larger
than expected in the $\Lambda$CDM framework. This agrees with the recent
discovery by Watkins et al. that galaxies in the CosmicFlows-4 catalogue have
significantly faster bulk flows than expected in the $\Lambda$CDM model on
scales of $100-250 \, h^{-1}$~Mpc. The rising bulk flow curve is unexpected in
standard cosmology, causing $4.8\sigma$ tension at $200 \, h^{-1}$~Mpc. In this
work, we determine what the semi-analytic void model of Haslbauer et al.
predicts for the bulk flows on these scales. We find qualitative agreement with
the observations, especially if our vantage point is chosen to match the
observed bulk flow on a scale of $50 \, h^{-1}$~Mpc. This represents a highly
non-trivial success of a previously published model that was not constrained by
bulk flow measurements, but which was shown to solve the Hubble tension and
explain the KBC void consistently with the peculiar velocity of the Local
Group. Our results suggest that several cosmological tensions can be
simultaneously resolved if structure grows more efficiently than in the
$\Lambda$CDM paradigm on scales of tens to hundreds of Mpc.
