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Finding the Fourth Proportional to 218,132.52, 327,064.80 and 84,857.46

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Solution

The fourth proportional to 218,132.52, 327,064.80 and 84,857.46 is: 127,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,132.52 : 327,064.80 = 84,857.46 : x
  2. Step 2: Convert to fraction form
    218,132.52/327,064.80 = 84,857.46/x
  3. Step 3: Cross multiply
    218,132.52x = 327,064.80 × 84,857.46
  4. Step 4: Simplify right side
    218,132.52x = 27,753,888,183.41
  5. Step 5: Solve for x
    x = 27,753,888,183.41/218,132.52
  6. Step 6: Final answer
    x = 127,234.07

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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.