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Finding the Fourth Proportional to 142,696.44, 196,919.10 and 82,267.20

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Solution

The fourth proportional to 142,696.44, 196,919.10 and 82,267.20 is: 113,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,696.44 : 196,919.10 = 82,267.20 : x
  2. Step 2: Convert to fraction form
    142,696.44/196,919.10 = 82,267.20/x
  3. Step 3: Cross multiply
    142,696.44x = 196,919.10 × 82,267.20
  4. Step 4: Simplify right side
    142,696.44x = 16,199,982,983.52
  5. Step 5: Solve for x
    x = 16,199,982,983.52/142,696.44
  6. Step 6: Final answer
    x = 113,527.59

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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.