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Finding the Fourth Proportional to 140,817.14, 194,320.22 and 80,385.38

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Solution

The fourth proportional to 140,817.14, 194,320.22 and 80,385.38 is: 110,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,817.14 : 194,320.22 = 80,385.38 : x
  2. Step 2: Convert to fraction form
    140,817.14/194,320.22 = 80,385.38/x
  3. Step 3: Cross multiply
    140,817.14x = 194,320.22 × 80,385.38
  4. Step 4: Simplify right side
    140,817.14x = 15,620,504,726.38
  5. Step 5: Solve for x
    x = 15,620,504,726.38/140,817.14
  6. Step 6: Final answer
    x = 110,927.58

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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.