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Finding the Fourth Proportional to 140,833.64, 194,355.78 and 80,414.12

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Solution

The fourth proportional to 140,833.64, 194,355.78 and 80,414.12 is: 110,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,833.64 : 194,355.78 = 80,414.12 : x
  2. Step 2: Convert to fraction form
    140,833.64/194,355.78 = 80,414.12/x
  3. Step 3: Cross multiply
    140,833.64x = 194,355.78 × 80,414.12
  4. Step 4: Simplify right side
    140,833.64x = 15,628,949,015.61
  5. Step 5: Solve for x
    x = 15,628,949,015.61/140,833.64
  6. Step 6: Final answer
    x = 110,974.54

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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.