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Finding the Fourth Proportional to 283,866.97, 391,731.48 and 154,806.44

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Solution

The fourth proportional to 283,866.97, 391,731.48 and 154,806.44 is: 213,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,866.97 : 391,731.48 = 154,806.44 : x
  2. Step 2: Convert to fraction form
    283,866.97/391,731.48 = 154,806.44/x
  3. Step 3: Cross multiply
    283,866.97x = 391,731.48 × 154,806.44
  4. Step 4: Simplify right side
    283,866.97x = 60,642,555,854.73
  5. Step 5: Solve for x
    x = 60,642,555,854.73/283,866.97
  6. Step 6: Final answer
    x = 213,630.19

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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.