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Finding the Fourth Proportional to 150,469.30, 225,743.10 and 43,850.82

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Solution

The fourth proportional to 150,469.30, 225,743.10 and 43,850.82 is: 65,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,469.30 : 225,743.10 = 43,850.82 : x
  2. Step 2: Convert to fraction form
    150,469.30/225,743.10 = 43,850.82/x
  3. Step 3: Cross multiply
    150,469.30x = 225,743.10 × 43,850.82
  4. Step 4: Simplify right side
    150,469.30x = 9,899,020,044.34
  5. Step 5: Solve for x
    x = 9,899,020,044.34/150,469.30
  6. Step 6: Final answer
    x = 65,787.64

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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.