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Finding the Fourth Proportional to 269,082.40, 403,930.80 and 158,336.80

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Solution

The fourth proportional to 269,082.40, 403,930.80 and 158,336.80 is: 237,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082.40 : 403,930.80 = 158,336.80 : x
  2. Step 2: Convert to fraction form
    269,082.40/403,930.80 = 158,336.80/x
  3. Step 3: Cross multiply
    269,082.40x = 403,930.80 × 158,336.80
  4. Step 4: Simplify right side
    269,082.40x = 63,957,110,293.44
  5. Step 5: Solve for x
    x = 63,957,110,293.44/269,082.40
  6. Step 6: Final answer
    x = 237,685.97

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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.