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Finding the Fourth Proportional to 142,744.38, 196,979.49 and 79,078.38

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Solution

The fourth proportional to 142,744.38, 196,979.49 and 79,078.38 is: 109,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,744.38 : 196,979.49 = 79,078.38 : x
  2. Step 2: Convert to fraction form
    142,744.38/196,979.49 = 79,078.38/x
  3. Step 3: Cross multiply
    142,744.38x = 196,979.49 × 79,078.38
  4. Step 4: Simplify right side
    142,744.38x = 15,576,818,962.43
  5. Step 5: Solve for x
    x = 15,576,818,962.43/142,744.38
  6. Step 6: Final answer
    x = 109,123.87

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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.