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Finding the Fourth Proportional to 140,515.46, 193,906.52 and 80,105.58

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Solution

The fourth proportional to 140,515.46, 193,906.52 and 80,105.58 is: 110,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,515.46 : 193,906.52 = 80,105.58 : x
  2. Step 2: Convert to fraction form
    140,515.46/193,906.52 = 80,105.58/x
  3. Step 3: Cross multiply
    140,515.46x = 193,906.52 × 80,105.58
  4. Step 4: Simplify right side
    140,515.46x = 15,532,994,250.38
  5. Step 5: Solve for x
    x = 15,532,994,250.38/140,515.46
  6. Step 6: Final answer
    x = 110,542.96

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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.