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Finding the Fourth Proportional to 144,046.46, 198,760.34 and 80,384.10

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Solution

The fourth proportional to 144,046.46, 198,760.34 and 80,384.10 is: 110,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,046.46 : 198,760.34 = 80,384.10 : x
  2. Step 2: Convert to fraction form
    144,046.46/198,760.34 = 80,384.10/x
  3. Step 3: Cross multiply
    144,046.46x = 198,760.34 × 80,384.10
  4. Step 4: Simplify right side
    144,046.46x = 15,977,170,644.67
  5. Step 5: Solve for x
    x = 15,977,170,644.67/144,046.46
  6. Step 6: Final answer
    x = 110,916.79

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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.