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Finding the Fourth Proportional to 131,578.92, 197,193.42 and 113,966.28

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Solution

The fourth proportional to 131,578.92, 197,193.42 and 113,966.28 is: 170,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,578.92 : 197,193.42 = 113,966.28 : x
  2. Step 2: Convert to fraction form
    131,578.92/197,193.42 = 113,966.28/x
  3. Step 3: Cross multiply
    131,578.92x = 197,193.42 × 113,966.28
  4. Step 4: Simplify right side
    131,578.92x = 22,473,400,517.88
  5. Step 5: Solve for x
    x = 22,473,400,517.88/131,578.92
  6. Step 6: Final answer
    x = 170,797.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.