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Finding the Fourth Proportional to 140,775.38, 194,273.16 and 80,344.81

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Solution

The fourth proportional to 140,775.38, 194,273.16 and 80,344.81 is: 110,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,775.38 : 194,273.16 = 80,344.81 : x
  2. Step 2: Convert to fraction form
    140,775.38/194,273.16 = 80,344.81/x
  3. Step 3: Cross multiply
    140,775.38x = 194,273.16 × 80,344.81
  4. Step 4: Simplify right side
    140,775.38x = 15,608,838,755.21
  5. Step 5: Solve for x
    x = 15,608,838,755.21/140,775.38
  6. Step 6: Final answer
    x = 110,877.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.