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Finding the Fourth Proportional to 140,947.22, 194,452.92 and 89,961.77

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Solution

The fourth proportional to 140,947.22, 194,452.92 and 89,961.77 is: 124,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,947.22 : 194,452.92 = 89,961.77 : x
  2. Step 2: Convert to fraction form
    140,947.22/194,452.92 = 89,961.77/x
  3. Step 3: Cross multiply
    140,947.22x = 194,452.92 × 89,961.77
  4. Step 4: Simplify right side
    140,947.22x = 17,493,328,864.87
  5. Step 5: Solve for x
    x = 17,493,328,864.87/140,947.22
  6. Step 6: Final answer
    x = 124,112.62

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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.