  Magnetic moments intercalated into layered transition metal dichalcogenides
are an excellent system for investigating the rich physics associated with
magnetic ordering in a strongly anisotropic, strong spin-orbit coupling
environment. We examine electronic transport and magnetization in
Fe$_{0.28}$TaS$_{2}$, a highly anisotropic ferromagnet with a Curie temperature
$T_{\mathrm{C}} \sim 68.8~$K. We find anomalous Hall data confirming a
dominance of spin-orbit coupling in the magnetotransport properties of this
material, and a remarkably large field-perpendicular-to-plane MR exceeding 60%
at 2 K, much larger than the typical MR for bulk metals, and comparable to
state-of-the-art GMR in thin film heterostructures, and smaller only than CMR
in Mn perovskites or high mobility semiconductors. Even within the
Fe$_x$TaS$_2$ series, for the current $x$ = 0.28 single crystals the MR is
nearly $100\times$ higher than that found previously in the commensurate
compound Fe$_{0.25}$TaS$_{2}$. After considering alternatives, we argue that
the large MR arises from spin disorder scattering in the strong spin-orbit
coupling environment, and suggest that this can be a design principle for
materials with large MR.
