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Finding the Fourth Proportional to 120,589.65, 166,414.14 and 66,879.63

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Solution

The fourth proportional to 120,589.65, 166,414.14 and 66,879.63 is: 92,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589.65 : 166,414.14 = 66,879.63 : x
  2. Step 2: Convert to fraction form
    120,589.65/166,414.14 = 66,879.63/x
  3. Step 3: Cross multiply
    120,589.65x = 166,414.14 × 66,879.63
  4. Step 4: Simplify right side
    120,589.65x = 11,129,716,109.97
  5. Step 5: Solve for x
    x = 11,129,716,109.97/120,589.65
  6. Step 6: Final answer
    x = 92,294.12

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