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Finding the Fourth Proportional to 142,508.75, 196,614.32 and 82,078.18

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Solution

The fourth proportional to 142,508.75, 196,614.32 and 82,078.18 is: 113,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,508.75 : 196,614.32 = 82,078.18 : x
  2. Step 2: Convert to fraction form
    142,508.75/196,614.32 = 82,078.18/x
  3. Step 3: Cross multiply
    142,508.75x = 196,614.32 × 82,078.18
  4. Step 4: Simplify right side
    142,508.75x = 16,137,744,645.61
  5. Step 5: Solve for x
    x = 16,137,744,645.61/142,508.75
  6. Step 6: Final answer
    x = 113,240.38

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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.