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Finding the Fourth Proportional to 159,954.69, 239,983.86 and 47,635.84

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Solution

The fourth proportional to 159,954.69, 239,983.86 and 47,635.84 is: 71,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,954.69 : 239,983.86 = 47,635.84 : x
  2. Step 2: Convert to fraction form
    159,954.69/239,983.86 = 47,635.84/x
  3. Step 3: Cross multiply
    159,954.69x = 239,983.86 × 47,635.84
  4. Step 4: Simplify right side
    159,954.69x = 11,431,832,757.54
  5. Step 5: Solve for x
    x = 11,431,832,757.54/159,954.69
  6. Step 6: Final answer
    x = 71,469.19

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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.