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Finding the Fourth Proportional to 217,470.38, 300,125.50 and 120,692.48

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Solution

The fourth proportional to 217,470.38, 300,125.50 and 120,692.48 is: 166,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,470.38 : 300,125.50 = 120,692.48 : x
  2. Step 2: Convert to fraction form
    217,470.38/300,125.50 = 120,692.48/x
  3. Step 3: Cross multiply
    217,470.38x = 300,125.50 × 120,692.48
  4. Step 4: Simplify right side
    217,470.38x = 36,222,890,906.24
  5. Step 5: Solve for x
    x = 36,222,890,906.24/217,470.38
  6. Step 6: Final answer
    x = 166,564.71

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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.