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Finding the Fourth Proportional to 120,385.74, 166,049.82 and 82,594.38

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Solution

The fourth proportional to 120,385.74, 166,049.82 and 82,594.38 is: 113,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,385.74 : 166,049.82 = 82,594.38 : x
  2. Step 2: Convert to fraction form
    120,385.74/166,049.82 = 82,594.38/x
  3. Step 3: Cross multiply
    120,385.74x = 166,049.82 × 82,594.38
  4. Step 4: Simplify right side
    120,385.74x = 13,714,781,932.01
  5. Step 5: Solve for x
    x = 13,714,781,932.01/120,385.74
  6. Step 6: Final answer
    x = 113,923.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.