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Finding the Fourth Proportional to 205,540.54, 283,691.70 and 124,951

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Solution

The fourth proportional to 205,540.54, 283,691.70 and 124,951 is: 172,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,540.54 : 283,691.70 = 124,951 : x
  2. Step 2: Convert to fraction form
    205,540.54/283,691.70 = 124,951/x
  3. Step 3: Cross multiply
    205,540.54x = 283,691.70 × 124,951
  4. Step 4: Simplify right side
    205,540.54x = 35,447,561,606.70
  5. Step 5: Solve for x
    x = 35,447,561,606.70/205,540.54
  6. Step 6: Final answer
    x = 172,460.19

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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.