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Finding the Fourth Proportional to 218,107.59, 327,160.89 and 68,359.29

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Solution

The fourth proportional to 218,107.59, 327,160.89 and 68,359.29 is: 102,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,107.59 : 327,160.89 = 68,359.29 : x
  2. Step 2: Convert to fraction form
    218,107.59/327,160.89 = 68,359.29/x
  3. Step 3: Cross multiply
    218,107.59x = 327,160.89 × 68,359.29
  4. Step 4: Simplify right side
    218,107.59x = 22,364,486,156.17
  5. Step 5: Solve for x
    x = 22,364,486,156.17/218,107.59
  6. Step 6: Final answer
    x = 102,538.78

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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.