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Finding the Fourth Proportional to 167,906.40, 231,707.96 and 96,282.24

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Solution

The fourth proportional to 167,906.40, 231,707.96 and 96,282.24 is: 132,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,906.40 : 231,707.96 = 96,282.24 : x
  2. Step 2: Convert to fraction form
    167,906.40/231,707.96 = 96,282.24/x
  3. Step 3: Cross multiply
    167,906.40x = 231,707.96 × 96,282.24
  4. Step 4: Simplify right side
    167,906.40x = 22,309,361,414.63
  5. Step 5: Solve for x
    x = 22,309,361,414.63/167,906.40
  6. Step 6: Final answer
    x = 132,867.84

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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.