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Finding the Fourth Proportional to 283,874.81, 391,734.05 and 162,930.97

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Solution

The fourth proportional to 283,874.81, 391,734.05 and 162,930.97 is: 224,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,874.81 : 391,734.05 = 162,930.97 : x
  2. Step 2: Convert to fraction form
    283,874.81/391,734.05 = 162,930.97/x
  3. Step 3: Cross multiply
    283,874.81x = 391,734.05 × 162,930.97
  4. Step 4: Simplify right side
    283,874.81x = 63,825,608,748.53
  5. Step 5: Solve for x
    x = 63,825,608,748.53/283,874.81
  6. Step 6: Final answer
    x = 224,837.17

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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.