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Finding the Fourth Proportional to 82,661.97, 123,946.26 and 75,608.90

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Solution

The fourth proportional to 82,661.97, 123,946.26 and 75,608.90 is: 113,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.97 : 123,946.26 = 75,608.90 : x
  2. Step 2: Convert to fraction form
    82,661.97/123,946.26 = 75,608.90/x
  3. Step 3: Cross multiply
    82,661.97x = 123,946.26 × 75,608.90
  4. Step 4: Simplify right side
    82,661.97x = 9,371,439,757.98
  5. Step 5: Solve for x
    x = 9,371,439,757.98/82,661.97
  6. Step 6: Final answer
    x = 113,370.63

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1.5x scale

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.