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Finding the Fourth Proportional to 178,767.76, 268,148.40 and 150,867.04

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Solution

The fourth proportional to 178,767.76, 268,148.40 and 150,867.04 is: 226,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,767.76 : 268,148.40 = 150,867.04 : x
  2. Step 2: Convert to fraction form
    178,767.76/268,148.40 = 150,867.04/x
  3. Step 3: Cross multiply
    178,767.76x = 268,148.40 × 150,867.04
  4. Step 4: Simplify right side
    178,767.76x = 40,454,755,388.74
  5. Step 5: Solve for x
    x = 40,454,755,388.74/178,767.76
  6. Step 6: Final answer
    x = 226,297.83

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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.