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Finding the Fourth Proportional to 202,209.36, 303,313.80 and 89,863.44

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Solution

The fourth proportional to 202,209.36, 303,313.80 and 89,863.44 is: 134,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.36 : 303,313.80 = 89,863.44 : x
  2. Step 2: Convert to fraction form
    202,209.36/303,313.80 = 89,863.44/x
  3. Step 3: Cross multiply
    202,209.36x = 303,313.80 × 89,863.44
  4. Step 4: Simplify right side
    202,209.36x = 27,256,821,467.47
  5. Step 5: Solve for x
    x = 27,256,821,467.47/202,209.36
  6. Step 6: Final answer
    x = 134,795.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.