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Finding the Fourth Proportional to 140,296, 193,614.24 and 80,680

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Solution

The fourth proportional to 140,296, 193,614.24 and 80,680 is: 111,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,296 : 193,614.24 = 80,680 : x
  2. Step 2: Convert to fraction form
    140,296/193,614.24 = 80,680/x
  3. Step 3: Cross multiply
    140,296x = 193,614.24 × 80,680
  4. Step 4: Simplify right side
    140,296x = 15,620,796,883.20
  5. Step 5: Solve for x
    x = 15,620,796,883.20/140,296
  6. Step 6: Final answer
    x = 111,341.71

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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.