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Finding the Fourth Proportional to 167,834.76, 251,692.18 and 55,494.24

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Solution

The fourth proportional to 167,834.76, 251,692.18 and 55,494.24 is: 83,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,834.76 : 251,692.18 = 55,494.24 : x
  2. Step 2: Convert to fraction form
    167,834.76/251,692.18 = 55,494.24/x
  3. Step 3: Cross multiply
    167,834.76x = 251,692.18 × 55,494.24
  4. Step 4: Simplify right side
    167,834.76x = 13,967,466,243.04
  5. Step 5: Solve for x
    x = 13,967,466,243.04/167,834.76
  6. Step 6: Final answer
    x = 83,221.53

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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.