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Finding the Fourth Proportional to 281,363.10, 422,044.65 and 84,371.10

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Solution

The fourth proportional to 281,363.10, 422,044.65 and 84,371.10 is: 126,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,363.10 : 422,044.65 = 84,371.10 : x
  2. Step 2: Convert to fraction form
    281,363.10/422,044.65 = 84,371.10/x
  3. Step 3: Cross multiply
    281,363.10x = 422,044.65 × 84,371.10
  4. Step 4: Simplify right side
    281,363.10x = 35,608,371,369.62
  5. Step 5: Solve for x
    x = 35,608,371,369.62/281,363.10
  6. Step 6: Final answer
    x = 126,556.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.