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Finding the Fourth Proportional to 269,324.88, 403,997.56 and 100,827.52

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Solution

The fourth proportional to 269,324.88, 403,997.56 and 100,827.52 is: 151,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,324.88 : 403,997.56 = 100,827.52 : x
  2. Step 2: Convert to fraction form
    269,324.88/403,997.56 = 100,827.52/x
  3. Step 3: Cross multiply
    269,324.88x = 403,997.56 × 100,827.52
  4. Step 4: Simplify right side
    269,324.88x = 40,734,072,060.85
  5. Step 5: Solve for x
    x = 40,734,072,060.85/269,324.88
  6. Step 6: Final answer
    x = 151,245.11

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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.