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Finding the Fourth Proportional to 202,037.84, 302,949.96 and 89,669.20

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Solution

The fourth proportional to 202,037.84, 302,949.96 and 89,669.20 is: 134,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,037.84 : 302,949.96 = 89,669.20 : x
  2. Step 2: Convert to fraction form
    202,037.84/302,949.96 = 89,669.20/x
  3. Step 3: Cross multiply
    202,037.84x = 302,949.96 × 89,669.20
  4. Step 4: Simplify right side
    202,037.84x = 27,165,280,553.23
  5. Step 5: Solve for x
    x = 27,165,280,553.23/202,037.84
  6. Step 6: Final answer
    x = 134,456.40

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