# Mathematics Olympics Competition Geometry Problem

Geometry Level 3

$$P$$ is a point inside of the triangle $$ABC$$. $$MN \parallel AB$$, $$ER \parallel CA$$, $$DT \parallel CB$$. The area of triangles $$t_1, t_2, t_3$$ are $$4, 9$$ and $$49$$. Solve for the area of triangle $$ABC$$.

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