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Finding the Fourth Proportional to 218,342.40, 327,686.40 and 85,286.40

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Solution

The fourth proportional to 218,342.40, 327,686.40 and 85,286.40 is: 127,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,342.40 : 327,686.40 = 85,286.40 : x
  2. Step 2: Convert to fraction form
    218,342.40/327,686.40 = 85,286.40/x
  3. Step 3: Cross multiply
    218,342.40x = 327,686.40 × 85,286.40
  4. Step 4: Simplify right side
    218,342.40x = 27,947,193,384.96
  5. Step 5: Solve for x
    x = 27,947,193,384.96/218,342.40
  6. Step 6: Final answer
    x = 127,997.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.