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Finding the Fourth Proportional to 159,493.56, 239,291.12 and 47,174.44

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Solution

The fourth proportional to 159,493.56, 239,291.12 and 47,174.44 is: 70,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,493.56 : 239,291.12 = 47,174.44 : x
  2. Step 2: Convert to fraction form
    159,493.56/239,291.12 = 47,174.44/x
  3. Step 3: Cross multiply
    159,493.56x = 239,291.12 × 47,174.44
  4. Step 4: Simplify right side
    159,493.56x = 11,288,424,582.97
  5. Step 5: Solve for x
    x = 11,288,424,582.97/159,493.56
  6. Step 6: Final answer
    x = 70,776.68

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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.