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Finding the Fourth Proportional to 150,524.55, 207,723.74 and 82,542.60

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Solution

The fourth proportional to 150,524.55, 207,723.74 and 82,542.60 is: 113,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,524.55 : 207,723.74 = 82,542.60 : x
  2. Step 2: Convert to fraction form
    150,524.55/207,723.74 = 82,542.60/x
  3. Step 3: Cross multiply
    150,524.55x = 207,723.74 × 82,542.60
  4. Step 4: Simplify right side
    150,524.55x = 17,146,057,168.61
  5. Step 5: Solve for x
    x = 17,146,057,168.61/150,524.55
  6. Step 6: Final answer
    x = 113,908.71

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1.5x scale

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.