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Finding the Fourth Proportional to 138,323.70, 207,485.55 and 82,227.15

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Solution

The fourth proportional to 138,323.70, 207,485.55 and 82,227.15 is: 123,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,323.70 : 207,485.55 = 82,227.15 : x
  2. Step 2: Convert to fraction form
    138,323.70/207,485.55 = 82,227.15/x
  3. Step 3: Cross multiply
    138,323.70x = 207,485.55 × 82,227.15
  4. Step 4: Simplify right side
    138,323.70x = 17,060,945,442.68
  5. Step 5: Solve for x
    x = 17,060,945,442.68/138,323.70
  6. Step 6: Final answer
    x = 123,340.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.