Use Similar Triangles and a Proportion to Find the Length $a = 102$

Multiple Choice

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance $a = 102$ ft, distance $b = 187$ ft, and distance $d = 71$ ft. Round your answer to the nearest foot.

A) $201$ ft.
B) $415$ ft.
C) $130$ ft.
D) $39$ ft.
E) $269$ ft.