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Finding the Fourth Proportional to 159,759, 239,617.68 and 47,436.96

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Solution

The fourth proportional to 159,759, 239,617.68 and 47,436.96 is: 71,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,759 : 239,617.68 = 47,436.96 : x
  2. Step 2: Convert to fraction form
    159,759/239,617.68 = 47,436.96/x
  3. Step 3: Cross multiply
    159,759x = 239,617.68 × 47,436.96
  4. Step 4: Simplify right side
    159,759x = 11,366,734,301.45
  5. Step 5: Solve for x
    x = 11,366,734,301.45/159,759
  6. Step 6: Final answer
    x = 71,149.26

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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.