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Finding the Fourth Proportional to 123,121.38, 169,867.62 and 75,324.90

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Solution

The fourth proportional to 123,121.38, 169,867.62 and 75,324.90 is: 103,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,121.38 : 169,867.62 = 75,324.90 : x
  2. Step 2: Convert to fraction form
    123,121.38/169,867.62 = 75,324.90/x
  3. Step 3: Cross multiply
    123,121.38x = 169,867.62 × 75,324.90
  4. Step 4: Simplify right side
    123,121.38x = 12,795,261,489.74
  5. Step 5: Solve for x
    x = 12,795,261,489.74/123,121.38
  6. Step 6: Final answer
    x = 103,923.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.