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Finding the Fourth Proportional to 106,351.38, 146,818.05 and 82,424.34

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Solution

The fourth proportional to 106,351.38, 146,818.05 and 82,424.34 is: 113,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,351.38 : 146,818.05 = 82,424.34 : x
  2. Step 2: Convert to fraction form
    106,351.38/146,818.05 = 82,424.34/x
  3. Step 3: Cross multiply
    106,351.38x = 146,818.05 × 82,424.34
  4. Step 4: Simplify right side
    106,351.38x = 12,101,380,871.34
  5. Step 5: Solve for x
    x = 12,101,380,871.34/106,351.38
  6. Step 6: Final answer
    x = 113,786.78

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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.