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Finding the Fourth Proportional to 159,850.80, 239,776.14 and 47,530.56

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Solution

The fourth proportional to 159,850.80, 239,776.14 and 47,530.56 is: 71,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,850.80 : 239,776.14 = 47,530.56 : x
  2. Step 2: Convert to fraction form
    159,850.80/239,776.14 = 47,530.56/x
  3. Step 3: Cross multiply
    159,850.80x = 239,776.14 × 47,530.56
  4. Step 4: Simplify right side
    159,850.80x = 11,396,694,208.84
  5. Step 5: Solve for x
    x = 11,396,694,208.84/159,850.80
  6. Step 6: Final answer
    x = 71,295.82

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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.