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Finding the Fourth Proportional to 142,680.39, 196,901 and 82,249.93

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Solution

The fourth proportional to 142,680.39, 196,901 and 82,249.93 is: 113,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,680.39 : 196,901 = 82,249.93 : x
  2. Step 2: Convert to fraction form
    142,680.39/196,901 = 82,249.93/x
  3. Step 3: Cross multiply
    142,680.39x = 196,901 × 82,249.93
  4. Step 4: Simplify right side
    142,680.39x = 16,195,093,466.93
  5. Step 5: Solve for x
    x = 16,195,093,466.93/142,680.39
  6. Step 6: Final answer
    x = 113,506.09

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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.