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Finding the Fourth Proportional to 178,753.44, 267,721.74 and 85,324.80

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Solution

The fourth proportional to 178,753.44, 267,721.74 and 85,324.80 is: 127,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,753.44 : 267,721.74 = 85,324.80 : x
  2. Step 2: Convert to fraction form
    178,753.44/267,721.74 = 85,324.80/x
  3. Step 3: Cross multiply
    178,753.44x = 267,721.74 × 85,324.80
  4. Step 4: Simplify right side
    178,753.44x = 22,843,303,921.15
  5. Step 5: Solve for x
    x = 22,843,303,921.15/178,753.44
  6. Step 6: Final answer
    x = 127,792.25

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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.