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Finding the Fourth Proportional to 231,415.20, 347,122.80 and 81,654.30

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Solution

The fourth proportional to 231,415.20, 347,122.80 and 81,654.30 is: 122,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,415.20 : 347,122.80 = 81,654.30 : x
  2. Step 2: Convert to fraction form
    231,415.20/347,122.80 = 81,654.30/x
  3. Step 3: Cross multiply
    231,415.20x = 347,122.80 × 81,654.30
  4. Step 4: Simplify right side
    231,415.20x = 28,344,069,248.04
  5. Step 5: Solve for x
    x = 28,344,069,248.04/231,415.20
  6. Step 6: Final answer
    x = 122,481.45

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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.