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Finding the Fourth Proportional to 138,059.74, 206,818.96 and 71,543.50

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Solution

The fourth proportional to 138,059.74, 206,818.96 and 71,543.50 is: 107,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,059.74 : 206,818.96 = 71,543.50 : x
  2. Step 2: Convert to fraction form
    138,059.74/206,818.96 = 71,543.50/x
  3. Step 3: Cross multiply
    138,059.74x = 206,818.96 × 71,543.50
  4. Step 4: Simplify right side
    138,059.74x = 14,796,551,230.67
  5. Step 5: Solve for x
    x = 14,796,551,230.67/138,059.74
  6. Step 6: Final answer
    x = 107,174.99

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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.