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Finding the Fourth Proportional to 159,469.80, 239,238.44 and 47,141.16

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Solution

The fourth proportional to 159,469.80, 239,238.44 and 47,141.16 is: 70,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,469.80 : 239,238.44 = 47,141.16 : x
  2. Step 2: Convert to fraction form
    159,469.80/239,238.44 = 47,141.16/x
  3. Step 3: Cross multiply
    159,469.80x = 239,238.44 × 47,141.16
  4. Step 4: Simplify right side
    159,469.80x = 11,277,977,578.19
  5. Step 5: Solve for x
    x = 11,277,977,578.19/159,469.80
  6. Step 6: Final answer
    x = 70,721.71

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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.