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Finding the Fourth Proportional to 150,571.98, 207,791.46 and 82,595.43

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Solution

The fourth proportional to 150,571.98, 207,791.46 and 82,595.43 is: 113,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,571.98 : 207,791.46 = 82,595.43 : x
  2. Step 2: Convert to fraction form
    150,571.98/207,791.46 = 82,595.43/x
  3. Step 3: Cross multiply
    150,571.98x = 207,791.46 × 82,595.43
  4. Step 4: Simplify right side
    150,571.98x = 17,162,624,989.03
  5. Step 5: Solve for x
    x = 17,162,624,989.03/150,571.98
  6. Step 6: Final answer
    x = 113,982.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.