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Finding the Fourth Proportional to 140,687.34, 194,167.02 and 80,244.10

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Solution

The fourth proportional to 140,687.34, 194,167.02 and 80,244.10 is: 110,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,687.34 : 194,167.02 = 80,244.10 : x
  2. Step 2: Convert to fraction form
    140,687.34/194,167.02 = 80,244.10/x
  3. Step 3: Cross multiply
    140,687.34x = 194,167.02 × 80,244.10
  4. Step 4: Simplify right side
    140,687.34x = 15,580,757,769.58
  5. Step 5: Solve for x
    x = 15,580,757,769.58/140,687.34
  6. Step 6: Final answer
    x = 110,747.40

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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.