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Finding the Fourth Proportional to 142,195.38, 196,227.27 and 78,531.54

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Solution

The fourth proportional to 142,195.38, 196,227.27 and 78,531.54 is: 108,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,195.38 : 196,227.27 = 78,531.54 : x
  2. Step 2: Convert to fraction form
    142,195.38/196,227.27 = 78,531.54/x
  3. Step 3: Cross multiply
    142,195.38x = 196,227.27 × 78,531.54
  4. Step 4: Simplify right side
    142,195.38x = 15,410,029,703.10
  5. Step 5: Solve for x
    x = 15,410,029,703.10/142,195.38
  6. Step 6: Final answer
    x = 108,372.22

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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.