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Finding the Fourth Proportional to 140,917.68, 194,469.12 and 77,251.68

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Solution

The fourth proportional to 140,917.68, 194,469.12 and 77,251.68 is: 106,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,917.68 : 194,469.12 = 77,251.68 : x
  2. Step 2: Convert to fraction form
    140,917.68/194,469.12 = 77,251.68/x
  3. Step 3: Cross multiply
    140,917.68x = 194,469.12 × 77,251.68
  4. Step 4: Simplify right side
    140,917.68x = 15,023,066,228.12
  5. Step 5: Solve for x
    x = 15,023,066,228.12/140,917.68
  6. Step 6: Final answer
    x = 106,608.81

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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.