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Finding the Fourth Proportional to 132,257.28, 198,385.86 and 33,761.28

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Solution

The fourth proportional to 132,257.28, 198,385.86 and 33,761.28 is: 50,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,257.28 : 198,385.86 = 33,761.28 : x
  2. Step 2: Convert to fraction form
    132,257.28/198,385.86 = 33,761.28/x
  3. Step 3: Cross multiply
    132,257.28x = 198,385.86 × 33,761.28
  4. Step 4: Simplify right side
    132,257.28x = 6,697,760,567.50
  5. Step 5: Solve for x
    x = 6,697,760,567.50/132,257.28
  6. Step 6: Final answer
    x = 50,641.90

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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.