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Finding the Fourth Proportional to 198,654.43, 297,974.96 and 86,334.66

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Solution

The fourth proportional to 198,654.43, 297,974.96 and 86,334.66 is: 129,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654.43 : 297,974.96 = 86,334.66 : x
  2. Step 2: Convert to fraction form
    198,654.43/297,974.96 = 86,334.66/x
  3. Step 3: Cross multiply
    198,654.43x = 297,974.96 × 86,334.66
  4. Step 4: Simplify right side
    198,654.43x = 25,725,567,688.61
  5. Step 5: Solve for x
    x = 25,725,567,688.61/198,654.43
  6. Step 6: Final answer
    x = 129,499.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.