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Finding the Fourth Proportional to 132,382.40, 198,608.80 and 57,470.40

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Solution

The fourth proportional to 132,382.40, 198,608.80 and 57,470.40 is: 86,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.40 : 198,608.80 = 57,470.40 : x
  2. Step 2: Convert to fraction form
    132,382.40/198,608.80 = 57,470.40/x
  3. Step 3: Cross multiply
    132,382.40x = 198,608.80 × 57,470.40
  4. Step 4: Simplify right side
    132,382.40x = 11,414,127,179.52
  5. Step 5: Solve for x
    x = 11,414,127,179.52/132,382.40
  6. Step 6: Final answer
    x = 86,220.88

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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.