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Finding the Fourth Proportional to 136,122.53, 187,849.25 and 75,691.88

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Solution

The fourth proportional to 136,122.53, 187,849.25 and 75,691.88 is: 104,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,122.53 : 187,849.25 = 75,691.88 : x
  2. Step 2: Convert to fraction form
    136,122.53/187,849.25 = 75,691.88/x
  3. Step 3: Cross multiply
    136,122.53x = 187,849.25 × 75,691.88
  4. Step 4: Simplify right side
    136,122.53x = 14,218,661,571.38
  5. Step 5: Solve for x
    x = 14,218,661,571.38/136,122.53
  6. Step 6: Final answer
    x = 104,454.87

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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.