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Finding the Fourth Proportional to 132,778.92, 199,227.25 and 69,584.02

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Solution

The fourth proportional to 132,778.92, 199,227.25 and 69,584.02 is: 104,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,778.92 : 199,227.25 = 69,584.02 : x
  2. Step 2: Convert to fraction form
    132,778.92/199,227.25 = 69,584.02/x
  3. Step 3: Cross multiply
    132,778.92x = 199,227.25 × 69,584.02
  4. Step 4: Simplify right side
    132,778.92x = 13,863,032,276.52
  5. Step 5: Solve for x
    x = 13,863,032,276.52/132,778.92
  6. Step 6: Final answer
    x = 104,406.88

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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.