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Finding the Fourth Proportional to 268,961.72, 403,505.76 and 150,714.68

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Solution

The fourth proportional to 268,961.72, 403,505.76 and 150,714.68 is: 226,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,961.72 : 403,505.76 = 150,714.68 : x
  2. Step 2: Convert to fraction form
    268,961.72/403,505.76 = 150,714.68/x
  3. Step 3: Cross multiply
    268,961.72x = 403,505.76 × 150,714.68
  4. Step 4: Simplify right side
    268,961.72x = 60,814,241,496.56
  5. Step 5: Solve for x
    x = 60,814,241,496.56/268,961.72
  6. Step 6: Final answer
    x = 226,107.42

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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.