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Finding the Fourth Proportional to 269,219.16, 404,016.12 and 111,448.44

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Solution

The fourth proportional to 269,219.16, 404,016.12 and 111,448.44 is: 167,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,219.16 : 404,016.12 = 111,448.44 : x
  2. Step 2: Convert to fraction form
    269,219.16/404,016.12 = 111,448.44/x
  3. Step 3: Cross multiply
    269,219.16x = 404,016.12 × 111,448.44
  4. Step 4: Simplify right side
    269,219.16x = 45,026,966,308.85
  5. Step 5: Solve for x
    x = 45,026,966,308.85/269,219.16
  6. Step 6: Final answer
    x = 167,250.23

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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.