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Finding the Fourth Proportional to 263,542.70, 363,691.86 and 142,686.62

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Solution

The fourth proportional to 263,542.70, 363,691.86 and 142,686.62 is: 196,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,542.70 : 363,691.86 = 142,686.62 : x
  2. Step 2: Convert to fraction form
    263,542.70/363,691.86 = 142,686.62/x
  3. Step 3: Cross multiply
    263,542.70x = 363,691.86 × 142,686.62
  4. Step 4: Simplify right side
    263,542.70x = 51,893,962,224.91
  5. Step 5: Solve for x
    x = 51,893,962,224.91/263,542.70
  6. Step 6: Final answer
    x = 196,909.12

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