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Finding the Fourth Proportional to 283,793.42, 425,493.29 and 150,767.09

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Solution

The fourth proportional to 283,793.42, 425,493.29 and 150,767.09 is: 226,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,793.42 : 425,493.29 = 150,767.09 : x
  2. Step 2: Convert to fraction form
    283,793.42/425,493.29 = 150,767.09/x
  3. Step 3: Cross multiply
    283,793.42x = 425,493.29 × 150,767.09
  4. Step 4: Simplify right side
    283,793.42x = 64,150,382,266.52
  5. Step 5: Solve for x
    x = 64,150,382,266.52/283,793.42
  6. Step 6: Final answer
    x = 226,046.06

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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.