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Finding the Fourth Proportional to 218,410.60, 327,615.90 and 85,295.20

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Solution

The fourth proportional to 218,410.60, 327,615.90 and 85,295.20 is: 127,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,410.60 : 327,615.90 = 85,295.20 : x
  2. Step 2: Convert to fraction form
    218,410.60/327,615.90 = 85,295.20/x
  3. Step 3: Cross multiply
    218,410.60x = 327,615.90 × 85,295.20
  4. Step 4: Simplify right side
    218,410.60x = 27,944,063,713.68
  5. Step 5: Solve for x
    x = 27,944,063,713.68/218,410.60
  6. Step 6: Final answer
    x = 127,942.80

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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.