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Finding the Fourth Proportional to 150,574.20, 207,792.72 and 82,591.80

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Solution

The fourth proportional to 150,574.20, 207,792.72 and 82,591.80 is: 113,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,574.20 : 207,792.72 = 82,591.80 : x
  2. Step 2: Convert to fraction form
    150,574.20/207,792.72 = 82,591.80/x
  3. Step 3: Cross multiply
    150,574.20x = 207,792.72 × 82,591.80
  4. Step 4: Simplify right side
    150,574.20x = 17,161,974,771.70
  5. Step 5: Solve for x
    x = 17,161,974,771.70/150,574.20
  6. Step 6: Final answer
    x = 113,976.86

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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.