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Finding the Fourth Proportional to 140,646.90, 194,098.06 and 80,227.38

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Solution

The fourth proportional to 140,646.90, 194,098.06 and 80,227.38 is: 110,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646.90 : 194,098.06 = 80,227.38 : x
  2. Step 2: Convert to fraction form
    140,646.90/194,098.06 = 80,227.38/x
  3. Step 3: Cross multiply
    140,646.90x = 194,098.06 × 80,227.38
  4. Step 4: Simplify right side
    140,646.90x = 15,571,978,816.88
  5. Step 5: Solve for x
    x = 15,571,978,816.88/140,646.90
  6. Step 6: Final answer
    x = 110,716.83

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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.