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Finding the Fourth Proportional to 120,470.97, 166,255.23 and 66,755.86

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Solution

The fourth proportional to 120,470.97, 166,255.23 and 66,755.86 is: 92,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,470.97 : 166,255.23 = 66,755.86 : x
  2. Step 2: Convert to fraction form
    120,470.97/166,255.23 = 66,755.86/x
  3. Step 3: Cross multiply
    120,470.97x = 166,255.23 × 66,755.86
  4. Step 4: Simplify right side
    120,470.97x = 11,098,510,858.15
  5. Step 5: Solve for x
    x = 11,098,510,858.15/120,470.97
  6. Step 6: Final answer
    x = 92,126.02

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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.