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Finding the Fourth Proportional to 269,224.16, 404,023.62 and 111,453.44

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Solution

The fourth proportional to 269,224.16, 404,023.62 and 111,453.44 is: 167,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,224.16 : 404,023.62 = 111,453.44 : x
  2. Step 2: Convert to fraction form
    269,224.16/404,023.62 = 111,453.44/x
  3. Step 3: Cross multiply
    269,224.16x = 404,023.62 × 111,453.44
  4. Step 4: Simplify right side
    269,224.16x = 45,029,822,290.25
  5. Step 5: Solve for x
    x = 45,029,822,290.25/269,224.16
  6. Step 6: Final answer
    x = 167,257.73

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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.