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Finding the Fourth Proportional to 193,692.25, 290,555.10 and 53,450.86

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Solution

The fourth proportional to 193,692.25, 290,555.10 and 53,450.86 is: 80,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,692.25 : 290,555.10 = 53,450.86 : x
  2. Step 2: Convert to fraction form
    193,692.25/290,555.10 = 53,450.86/x
  3. Step 3: Cross multiply
    193,692.25x = 290,555.10 × 53,450.86
  4. Step 4: Simplify right side
    193,692.25x = 15,530,419,972.39
  5. Step 5: Solve for x
    x = 15,530,419,972.39/193,692.25
  6. Step 6: Final answer
    x = 80,180.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.