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Finding the Fourth Proportional to 205,363.40, 283,249.86 and 129,839

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Solution

The fourth proportional to 205,363.40, 283,249.86 and 129,839 is: 179,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363.40 : 283,249.86 = 129,839 : x
  2. Step 2: Convert to fraction form
    205,363.40/283,249.86 = 129,839/x
  3. Step 3: Cross multiply
    205,363.40x = 283,249.86 × 129,839
  4. Step 4: Simplify right side
    205,363.40x = 36,776,878,572.54
  5. Step 5: Solve for x
    x = 36,776,878,572.54/205,363.40
  6. Step 6: Final answer
    x = 179,081.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.