  Rosengren found an explicit formula for a certain weighted enumeration of
lozenge tilings of a hexagon with an arbitrary triangular hole. He pointed out
that a certain ratio corresponding to two such regions has a nice product
formula. In this paper, we generalize this to hexagons with arbitrary collinear
holes. It turns out that, by using same approach, we can also generalize
Ciucu's work on the number and the number of centrally symmetric tilings of a
hexagon with a fern removed from its center. This proves a recent conjecture of
Ciucu.
