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Finding the Fourth Proportional to 268,987.74, 403,481.52 and 89,024.82

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Solution

The fourth proportional to 268,987.74, 403,481.52 and 89,024.82 is: 133,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,987.74 : 403,481.52 = 89,024.82 : x
  2. Step 2: Convert to fraction form
    268,987.74/403,481.52 = 89,024.82/x
  3. Step 3: Cross multiply
    268,987.74x = 403,481.52 × 89,024.82
  4. Step 4: Simplify right side
    268,987.74x = 35,919,869,691.33
  5. Step 5: Solve for x
    x = 35,919,869,691.33/268,987.74
  6. Step 6: Final answer
    x = 133,537.20

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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.