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Finding the Fourth Proportional to 205,694.43, 283,854.56 and 116,270.43

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Solution

The fourth proportional to 205,694.43, 283,854.56 and 116,270.43 is: 160,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,694.43 : 283,854.56 = 116,270.43 : x
  2. Step 2: Convert to fraction form
    205,694.43/283,854.56 = 116,270.43/x
  3. Step 3: Cross multiply
    205,694.43x = 283,854.56 × 116,270.43
  4. Step 4: Simplify right side
    205,694.43x = 33,003,891,167.31
  5. Step 5: Solve for x
    x = 33,003,891,167.31/205,694.43
  6. Step 6: Final answer
    x = 160,451.07

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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.