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Finding the Fourth Proportional to 261,487.96, 392,442.10 and 135,165.20

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Solution

The fourth proportional to 261,487.96, 392,442.10 and 135,165.20 is: 202,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,487.96 : 392,442.10 = 135,165.20 : x
  2. Step 2: Convert to fraction form
    261,487.96/392,442.10 = 135,165.20/x
  3. Step 3: Cross multiply
    261,487.96x = 392,442.10 × 135,165.20
  4. Step 4: Simplify right side
    261,487.96x = 53,044,514,934.92
  5. Step 5: Solve for x
    x = 53,044,514,934.92/261,487.96
  6. Step 6: Final answer
    x = 202,856.43

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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.