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Finding the Fourth Proportional to 178,763.76, 268,142.40 and 150,863.04

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Solution

The fourth proportional to 178,763.76, 268,142.40 and 150,863.04 is: 226,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,763.76 : 268,142.40 = 150,863.04 : x
  2. Step 2: Convert to fraction form
    178,763.76/268,142.40 = 150,863.04/x
  3. Step 3: Cross multiply
    178,763.76x = 268,142.40 × 150,863.04
  4. Step 4: Simplify right side
    178,763.76x = 40,452,777,616.90
  5. Step 5: Solve for x
    x = 40,452,777,616.90/178,763.76
  6. Step 6: Final answer
    x = 226,291.83

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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.