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Finding the Fourth Proportional to 281,092.92, 420,963.66 and 160,785.24

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Solution

The fourth proportional to 281,092.92, 420,963.66 and 160,785.24 is: 240,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,092.92 : 420,963.66 = 160,785.24 : x
  2. Step 2: Convert to fraction form
    281,092.92/420,963.66 = 160,785.24/x
  3. Step 3: Cross multiply
    281,092.92x = 420,963.66 × 160,785.24
  4. Step 4: Simplify right side
    281,092.92x = 67,684,743,104.38
  5. Step 5: Solve for x
    x = 67,684,743,104.38/281,092.92
  6. Step 6: Final answer
    x = 240,791.35

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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.