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Finding the Fourth Proportional to 268,963.74, 403,445.52 and 89,000.82

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Solution

The fourth proportional to 268,963.74, 403,445.52 and 89,000.82 is: 133,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,963.74 : 403,445.52 = 89,000.82 : x
  2. Step 2: Convert to fraction form
    268,963.74/403,445.52 = 89,000.82/x
  3. Step 3: Cross multiply
    268,963.74x = 403,445.52 × 89,000.82
  4. Step 4: Simplify right side
    268,963.74x = 35,906,982,105.33
  5. Step 5: Solve for x
    x = 35,906,982,105.33/268,963.74
  6. Step 6: Final answer
    x = 133,501.20

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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.