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Finding the Fourth Proportional to 138,022.92, 190,452.60 and 80,648.46

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Solution

The fourth proportional to 138,022.92, 190,452.60 and 80,648.46 is: 111,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,022.92 : 190,452.60 = 80,648.46 : x
  2. Step 2: Convert to fraction form
    138,022.92/190,452.60 = 80,648.46/x
  3. Step 3: Cross multiply
    138,022.92x = 190,452.60 × 80,648.46
  4. Step 4: Simplify right side
    138,022.92x = 15,359,708,893.00
  5. Step 5: Solve for x
    x = 15,359,708,893.00/138,022.92
  6. Step 6: Final answer
    x = 111,283.76

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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.