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Finding the Fourth Proportional to 120,387.92, 180,632.29 and 52,885.14

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Solution

The fourth proportional to 120,387.92, 180,632.29 and 52,885.14 is: 79,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,387.92 : 180,632.29 = 52,885.14 : x
  2. Step 2: Convert to fraction form
    120,387.92/180,632.29 = 52,885.14/x
  3. Step 3: Cross multiply
    120,387.92x = 180,632.29 × 52,885.14
  4. Step 4: Simplify right side
    120,387.92x = 9,552,763,812.96
  5. Step 5: Solve for x
    x = 9,552,763,812.96/120,387.92
  6. Step 6: Final answer
    x = 79,349.85

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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.