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Finding the Fourth Proportional to 218,084.40, 327,335.40 and 112,978.80

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Solution

The fourth proportional to 218,084.40, 327,335.40 and 112,978.80 is: 169,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,084.40 : 327,335.40 = 112,978.80 : x
  2. Step 2: Convert to fraction form
    218,084.40/327,335.40 = 112,978.80/x
  3. Step 3: Cross multiply
    218,084.40x = 327,335.40 × 112,978.80
  4. Step 4: Simplify right side
    218,084.40x = 36,981,960,689.52
  5. Step 5: Solve for x
    x = 36,981,960,689.52/218,084.40
  6. Step 6: Final answer
    x = 169,576.37

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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.