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Finding the Fourth Proportional to 132,847.80, 199,002.90 and 82,774.20

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Solution

The fourth proportional to 132,847.80, 199,002.90 and 82,774.20 is: 123,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,847.80 : 199,002.90 = 82,774.20 : x
  2. Step 2: Convert to fraction form
    132,847.80/199,002.90 = 82,774.20/x
  3. Step 3: Cross multiply
    132,847.80x = 199,002.90 × 82,774.20
  4. Step 4: Simplify right side
    132,847.80x = 16,472,305,845.18
  5. Step 5: Solve for x
    x = 16,472,305,845.18/132,847.80
  6. Step 6: Final answer
    x = 123,993.82

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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.