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Finding the Fourth Proportional to 167,822.21, 251,734 and 67,984.30

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Solution

The fourth proportional to 167,822.21, 251,734 and 67,984.30 is: 101,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,822.21 : 251,734 = 67,984.30 : x
  2. Step 2: Convert to fraction form
    167,822.21/251,734 = 67,984.30/x
  3. Step 3: Cross multiply
    167,822.21x = 251,734 × 67,984.30
  4. Step 4: Simplify right side
    167,822.21x = 17,113,958,517.53
  5. Step 5: Solve for x
    x = 17,113,958,517.53/167,822.21
  6. Step 6: Final answer
    x = 101,976.72

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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.