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Finding the Fourth Proportional to 150,382.97, 207,528.38 and 82,404.17

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Solution

The fourth proportional to 150,382.97, 207,528.38 and 82,404.17 is: 113,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,382.97 : 207,528.38 = 82,404.17 : x
  2. Step 2: Convert to fraction form
    150,382.97/207,528.38 = 82,404.17/x
  3. Step 3: Cross multiply
    150,382.97x = 207,528.38 × 82,404.17
  4. Step 4: Simplify right side
    150,382.97x = 17,101,203,542.93
  5. Step 5: Solve for x
    x = 17,101,203,542.93/150,382.97
  6. Step 6: Final answer
    x = 113,717.69

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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.