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Finding the Fourth Proportional to 140,062.50, 193,286.25 and 89,761.50

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Solution

The fourth proportional to 140,062.50, 193,286.25 and 89,761.50 is: 123,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,062.50 : 193,286.25 = 89,761.50 : x
  2. Step 2: Convert to fraction form
    140,062.50/193,286.25 = 89,761.50/x
  3. Step 3: Cross multiply
    140,062.50x = 193,286.25 × 89,761.50
  4. Step 4: Simplify right side
    140,062.50x = 17,349,663,729.38
  5. Step 5: Solve for x
    x = 17,349,663,729.38/140,062.50
  6. Step 6: Final answer
    x = 123,870.87

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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.