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Finding the Fourth Proportional to 205,542.54, 283,694.46 and 124,953

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Solution

The fourth proportional to 205,542.54, 283,694.46 and 124,953 is: 172,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,542.54 : 283,694.46 = 124,953 : x
  2. Step 2: Convert to fraction form
    205,542.54/283,694.46 = 124,953/x
  3. Step 3: Cross multiply
    205,542.54x = 283,694.46 × 124,953
  4. Step 4: Simplify right side
    205,542.54x = 35,448,473,860.38
  5. Step 5: Solve for x
    x = 35,448,473,860.38/205,542.54
  6. Step 6: Final answer
    x = 172,462.96

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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.