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Finding the Fourth Proportional to 142,620.78, 196,801.74 and 82,179.39

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Solution

The fourth proportional to 142,620.78, 196,801.74 and 82,179.39 is: 113,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,620.78 : 196,801.74 = 82,179.39 : x
  2. Step 2: Convert to fraction form
    142,620.78/196,801.74 = 82,179.39/x
  3. Step 3: Cross multiply
    142,620.78x = 196,801.74 × 82,179.39
  4. Step 4: Simplify right side
    142,620.78x = 16,173,046,944.14
  5. Step 5: Solve for x
    x = 16,173,046,944.14/142,620.78
  6. Step 6: Final answer
    x = 113,398.95

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