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Finding the Fourth Proportional to 269,120.48, 403,744.16 and 150,873.44

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Solution

The fourth proportional to 269,120.48, 403,744.16 and 150,873.44 is: 226,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,120.48 : 403,744.16 = 150,873.44 : x
  2. Step 2: Convert to fraction form
    269,120.48/403,744.16 = 150,873.44/x
  3. Step 3: Cross multiply
    269,120.48x = 403,744.16 × 150,873.44
  4. Step 4: Simplify right side
    269,120.48x = 60,914,270,299.11
  5. Step 5: Solve for x
    x = 60,914,270,299.11/269,120.48
  6. Step 6: Final answer
    x = 226,345.73

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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.