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Finding the Fourth Proportional to 159,891.25, 239,815.01 and 47,588.80

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Solution

The fourth proportional to 159,891.25, 239,815.01 and 47,588.80 is: 71,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,891.25 : 239,815.01 = 47,588.80 : x
  2. Step 2: Convert to fraction form
    159,891.25/239,815.01 = 47,588.80/x
  3. Step 3: Cross multiply
    159,891.25x = 239,815.01 × 47,588.80
  4. Step 4: Simplify right side
    159,891.25x = 11,412,508,309.94
  5. Step 5: Solve for x
    x = 11,412,508,309.94/159,891.25
  6. Step 6: Final answer
    x = 71,376.69

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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.