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Finding the Fourth Proportional to 206,519.28, 285,286.96 and 159,378.49

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Solution

The fourth proportional to 206,519.28, 285,286.96 and 159,378.49 is: 220,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,519.28 : 285,286.96 = 159,378.49 : x
  2. Step 2: Convert to fraction form
    206,519.28/285,286.96 = 159,378.49/x
  3. Step 3: Cross multiply
    206,519.28x = 285,286.96 × 159,378.49
  4. Step 4: Simplify right side
    206,519.28x = 45,468,604,901.49
  5. Step 5: Solve for x
    x = 45,468,604,901.49/206,519.28
  6. Step 6: Final answer
    x = 220,166.39

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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.