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Finding the Fourth Proportional to 120,477.48, 166,395.24 and 82,171.68

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Solution

The fourth proportional to 120,477.48, 166,395.24 and 82,171.68 is: 113,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,477.48 : 166,395.24 = 82,171.68 : x
  2. Step 2: Convert to fraction form
    120,477.48/166,395.24 = 82,171.68/x
  3. Step 3: Cross multiply
    120,477.48x = 166,395.24 × 82,171.68
  4. Step 4: Simplify right side
    120,477.48x = 13,672,976,414.80
  5. Step 5: Solve for x
    x = 13,672,976,414.80/120,477.48
  6. Step 6: Final answer
    x = 113,489.89

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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.