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 \(ABC \).

Harley Guo by Harley Guo
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