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Finding the Fourth Proportional to 140,549.78, 194,100.38 and 89,586.54

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Solution

The fourth proportional to 140,549.78, 194,100.38 and 89,586.54 is: 123,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,549.78 : 194,100.38 = 89,586.54 : x
  2. Step 2: Convert to fraction form
    140,549.78/194,100.38 = 89,586.54/x
  3. Step 3: Cross multiply
    140,549.78x = 194,100.38 × 89,586.54
  4. Step 4: Simplify right side
    140,549.78x = 17,388,781,456.89
  5. Step 5: Solve for x
    x = 17,388,781,456.89/140,549.78
  6. Step 6: Final answer
    x = 123,719.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.