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Finding the Fourth Proportional to 253,753.60, 380,113.68 and 120,229.12

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Solution

The fourth proportional to 253,753.60, 380,113.68 and 120,229.12 is: 180,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,753.60 : 380,113.68 = 120,229.12 : x
  2. Step 2: Convert to fraction form
    253,753.60/380,113.68 = 120,229.12/x
  3. Step 3: Cross multiply
    253,753.60x = 380,113.68 × 120,229.12
  4. Step 4: Simplify right side
    253,753.60x = 45,700,733,246.36
  5. Step 5: Solve for x
    x = 45,700,733,246.36/253,753.60
  6. Step 6: Final answer
    x = 180,098.86

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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.