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Finding the Fourth Proportional to 159,791.03, 239,719.34 and 47,461.24

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Solution

The fourth proportional to 159,791.03, 239,719.34 and 47,461.24 is: 71,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,791.03 : 239,719.34 = 47,461.24 : x
  2. Step 2: Convert to fraction form
    159,791.03/239,719.34 = 47,461.24/x
  3. Step 3: Cross multiply
    159,791.03x = 239,719.34 × 47,461.24
  4. Step 4: Simplify right side
    159,791.03x = 11,377,377,546.68
  5. Step 5: Solve for x
    x = 11,377,377,546.68/159,791.03
  6. Step 6: Final answer
    x = 71,201.60

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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.