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Finding the Fourth Proportional to 142,662.78, 196,874.32 and 82,233.02

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Solution

The fourth proportional to 142,662.78, 196,874.32 and 82,233.02 is: 113,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,662.78 : 196,874.32 = 82,233.02 : x
  2. Step 2: Convert to fraction form
    142,662.78/196,874.32 = 82,233.02/x
  3. Step 3: Cross multiply
    142,662.78x = 196,874.32 × 82,233.02
  4. Step 4: Simplify right side
    142,662.78x = 16,189,569,894.05
  5. Step 5: Solve for x
    x = 16,189,569,894.05/142,662.78
  6. Step 6: Final answer
    x = 113,481.39

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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.