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Finding the Fourth Proportional to 150,033.92, 207,052.34 and 82,046.84

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Solution

The fourth proportional to 150,033.92, 207,052.34 and 82,046.84 is: 113,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,033.92 : 207,052.34 = 82,046.84 : x
  2. Step 2: Convert to fraction form
    150,033.92/207,052.34 = 82,046.84/x
  3. Step 3: Cross multiply
    150,033.92x = 207,052.34 × 82,046.84
  4. Step 4: Simplify right side
    150,033.92x = 16,987,988,766.11
  5. Step 5: Solve for x
    x = 16,987,988,766.11/150,033.92
  6. Step 6: Final answer
    x = 113,227.66

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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.