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Finding the Fourth Proportional to 283,551.82, 391,446.14 and 192,153.97

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Solution

The fourth proportional to 283,551.82, 391,446.14 and 192,153.97 is: 265,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,551.82 : 391,446.14 = 192,153.97 : x
  2. Step 2: Convert to fraction form
    283,551.82/391,446.14 = 192,153.97/x
  3. Step 3: Cross multiply
    283,551.82x = 391,446.14 × 192,153.97
  4. Step 4: Simplify right side
    283,551.82x = 75,217,929,370.71
  5. Step 5: Solve for x
    x = 75,217,929,370.71/283,551.82
  6. Step 6: Final answer
    x = 265,270.48

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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.