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Finding the Fourth Proportional to 102,725.82, 141,777.90 and 62,452.20

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Solution

The fourth proportional to 102,725.82, 141,777.90 and 62,452.20 is: 86,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,725.82 : 141,777.90 = 62,452.20 : x
  2. Step 2: Convert to fraction form
    102,725.82/141,777.90 = 62,452.20/x
  3. Step 3: Cross multiply
    102,725.82x = 141,777.90 × 62,452.20
  4. Step 4: Simplify right side
    102,725.82x = 8,854,341,766.38
  5. Step 5: Solve for x
    x = 8,854,341,766.38/102,725.82
  6. Step 6: Final answer
    x = 86,193.93

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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.