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Finding the Fourth Proportional to 140,787.54, 194,238.24 and 80,314.56

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Solution

The fourth proportional to 140,787.54, 194,238.24 and 80,314.56 is: 110,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,787.54 : 194,238.24 = 80,314.56 : x
  2. Step 2: Convert to fraction form
    140,787.54/194,238.24 = 80,314.56/x
  3. Step 3: Cross multiply
    140,787.54x = 194,238.24 × 80,314.56
  4. Step 4: Simplify right side
    140,787.54x = 15,600,158,780.77
  5. Step 5: Solve for x
    x = 15,600,158,780.77/140,787.54
  6. Step 6: Final answer
    x = 110,806.39

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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.