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Finding the Fourth Proportional to 261,003.59, 391,444.12 and 147,200.61

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Solution

The fourth proportional to 261,003.59, 391,444.12 and 147,200.61 is: 220,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,003.59 : 391,444.12 = 147,200.61 : x
  2. Step 2: Convert to fraction form
    261,003.59/391,444.12 = 147,200.61/x
  3. Step 3: Cross multiply
    261,003.59x = 391,444.12 × 147,200.61
  4. Step 4: Simplify right side
    261,003.59x = 57,620,812,508.91
  5. Step 5: Solve for x
    x = 57,620,812,508.91/261,003.59
  6. Step 6: Final answer
    x = 220,766.36

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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.