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Finding the Fourth Proportional to 142,684.38, 196,906.52 and 82,253.94

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Solution

The fourth proportional to 142,684.38, 196,906.52 and 82,253.94 is: 113,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,684.38 : 196,906.52 = 82,253.94 : x
  2. Step 2: Convert to fraction form
    142,684.38/196,906.52 = 82,253.94/x
  3. Step 3: Cross multiply
    142,684.38x = 196,906.52 × 82,253.94
  4. Step 4: Simplify right side
    142,684.38x = 16,196,337,081.69
  5. Step 5: Solve for x
    x = 16,196,337,081.69/142,684.38
  6. Step 6: Final answer
    x = 113,511.63

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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.