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Finding the Fourth Proportional to 218,098.40, 327,147.60 and 112,949.60

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Solution

The fourth proportional to 218,098.40, 327,147.60 and 112,949.60 is: 169,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.40 : 327,147.60 = 112,949.60 : x
  2. Step 2: Convert to fraction form
    218,098.40/327,147.60 = 112,949.60/x
  3. Step 3: Cross multiply
    218,098.40x = 327,147.60 × 112,949.60
  4. Step 4: Simplify right side
    218,098.40x = 36,951,190,560.96
  5. Step 5: Solve for x
    x = 36,951,190,560.96/218,098.40
  6. Step 6: Final answer
    x = 169,424.40

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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.