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Finding the Fourth Proportional to 159,854.40, 220,463.64 and 96,180.30

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Solution

The fourth proportional to 159,854.40, 220,463.64 and 96,180.30 is: 132,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,854.40 : 220,463.64 = 96,180.30 : x
  2. Step 2: Convert to fraction form
    159,854.40/220,463.64 = 96,180.30/x
  3. Step 3: Cross multiply
    159,854.40x = 220,463.64 × 96,180.30
  4. Step 4: Simplify right side
    159,854.40x = 21,204,259,034.29
  5. Step 5: Solve for x
    x = 21,204,259,034.29/159,854.40
  6. Step 6: Final answer
    x = 132,647.33

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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.