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Finding the Fourth Proportional to 166,930.38, 230,229.90 and 146,744.46

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Solution

The fourth proportional to 166,930.38, 230,229.90 and 146,744.46 is: 202,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,930.38 : 230,229.90 = 146,744.46 : x
  2. Step 2: Convert to fraction form
    166,930.38/230,229.90 = 146,744.46/x
  3. Step 3: Cross multiply
    166,930.38x = 230,229.90 × 146,744.46
  4. Step 4: Simplify right side
    166,930.38x = 33,784,962,351.35
  5. Step 5: Solve for x
    x = 33,784,962,351.35/166,930.38
  6. Step 6: Final answer
    x = 202,389.54

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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.