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Finding the Fourth Proportional to 142,691.66, 196,913.99 and 82,262.01

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Solution

The fourth proportional to 142,691.66, 196,913.99 and 82,262.01 is: 113,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,691.66 : 196,913.99 = 82,262.01 : x
  2. Step 2: Convert to fraction form
    142,691.66/196,913.99 = 82,262.01/x
  3. Step 3: Cross multiply
    142,691.66x = 196,913.99 × 82,262.01
  4. Step 4: Simplify right side
    142,691.66x = 16,198,540,820.17
  5. Step 5: Solve for x
    x = 16,198,540,820.17/142,691.66
  6. Step 6: Final answer
    x = 113,521.29

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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.