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Finding the Fourth Proportional to 202,402.10, 303,689.55 and 97,166.90

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Solution

The fourth proportional to 202,402.10, 303,689.55 and 97,166.90 is: 145,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,402.10 : 303,689.55 = 97,166.90 : x
  2. Step 2: Convert to fraction form
    202,402.10/303,689.55 = 97,166.90/x
  3. Step 3: Cross multiply
    202,402.10x = 303,689.55 × 97,166.90
  4. Step 4: Simplify right side
    202,402.10x = 29,508,572,135.90
  5. Step 5: Solve for x
    x = 29,508,572,135.90/202,402.10
  6. Step 6: Final answer
    x = 145,791.83

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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.