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Finding the Fourth Proportional to 138,060.74, 206,820.46 and 71,544.50

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Solution

The fourth proportional to 138,060.74, 206,820.46 and 71,544.50 is: 107,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,060.74 : 206,820.46 = 71,544.50 : x
  2. Step 2: Convert to fraction form
    138,060.74/206,820.46 = 71,544.50/x
  3. Step 3: Cross multiply
    138,060.74x = 206,820.46 × 71,544.50
  4. Step 4: Simplify right side
    138,060.74x = 14,796,866,400.47
  5. Step 5: Solve for x
    x = 14,796,866,400.47/138,060.74
  6. Step 6: Final answer
    x = 107,176.50

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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.