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Finding the Fourth Proportional to 120,791.97, 166,697.21 and 67,077.90

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Solution

The fourth proportional to 120,791.97, 166,697.21 and 67,077.90 is: 92,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,791.97 : 166,697.21 = 67,077.90 : x
  2. Step 2: Convert to fraction form
    120,791.97/166,697.21 = 67,077.90/x
  3. Step 3: Cross multiply
    120,791.97x = 166,697.21 × 67,077.90
  4. Step 4: Simplify right side
    120,791.97x = 11,181,698,447.27
  5. Step 5: Solve for x
    x = 11,181,698,447.27/120,791.97
  6. Step 6: Final answer
    x = 92,569.88

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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.