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Finding the Fourth Proportional to 120,494.12, 166,279.86 and 66,045.86

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Solution

The fourth proportional to 120,494.12, 166,279.86 and 66,045.86 is: 91,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.12 : 166,279.86 = 66,045.86 : x
  2. Step 2: Convert to fraction form
    120,494.12/166,279.86 = 66,045.86/x
  3. Step 3: Cross multiply
    120,494.12x = 166,279.86 × 66,045.86
  4. Step 4: Simplify right side
    120,494.12x = 10,982,096,354.38
  5. Step 5: Solve for x
    x = 10,982,096,354.38/120,494.12
  6. Step 6: Final answer
    x = 91,142.18

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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.