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Finding the Fourth Proportional to 218,098.80, 327,196.80 and 84,967.20

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Solution

The fourth proportional to 218,098.80, 327,196.80 and 84,967.20 is: 127,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.80 : 327,196.80 = 84,967.20 : x
  2. Step 2: Convert to fraction form
    218,098.80/327,196.80 = 84,967.20/x
  3. Step 3: Cross multiply
    218,098.80x = 327,196.80 × 84,967.20
  4. Step 4: Simplify right side
    218,098.80x = 27,800,995,944.96
  5. Step 5: Solve for x
    x = 27,800,995,944.96/218,098.80
  6. Step 6: Final answer
    x = 127,469.73

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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.