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Finding the Fourth Proportional to 132,454.40, 198,716.80 and 57,542.40

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Solution

The fourth proportional to 132,454.40, 198,716.80 and 57,542.40 is: 86,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,454.40 : 198,716.80 = 57,542.40 : x
  2. Step 2: Convert to fraction form
    132,454.40/198,716.80 = 57,542.40/x
  3. Step 3: Cross multiply
    132,454.40x = 198,716.80 × 57,542.40
  4. Step 4: Simplify right side
    132,454.40x = 11,434,641,592.32
  5. Step 5: Solve for x
    x = 11,434,641,592.32/132,454.40
  6. Step 6: Final answer
    x = 86,328.89

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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.