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Finding the Fourth Proportional to 231,932.30, 347,898.45 and 74,165.90

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Solution

The fourth proportional to 231,932.30, 347,898.45 and 74,165.90 is: 111,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,932.30 : 347,898.45 = 74,165.90 : x
  2. Step 2: Convert to fraction form
    231,932.30/347,898.45 = 74,165.90/x
  3. Step 3: Cross multiply
    231,932.30x = 347,898.45 × 74,165.90
  4. Step 4: Simplify right side
    231,932.30x = 25,802,201,652.86
  5. Step 5: Solve for x
    x = 25,802,201,652.86/231,932.30
  6. Step 6: Final answer
    x = 111,248.85

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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.