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Finding the Fourth Proportional to 218,164.68, 327,089.88 and 84,932.64

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Solution

The fourth proportional to 218,164.68, 327,089.88 and 84,932.64 is: 127,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,164.68 : 327,089.88 = 84,932.64 : x
  2. Step 2: Convert to fraction form
    218,164.68/327,089.88 = 84,932.64/x
  3. Step 3: Cross multiply
    218,164.68x = 327,089.88 × 84,932.64
  4. Step 4: Simplify right side
    218,164.68x = 27,780,607,025.68
  5. Step 5: Solve for x
    x = 27,780,607,025.68/218,164.68
  6. Step 6: Final answer
    x = 127,337.78

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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.