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Finding the Fourth Proportional to 167,827.56, 251,742 and 67,989.64

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Solution

The fourth proportional to 167,827.56, 251,742 and 67,989.64 is: 101,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,827.56 : 251,742 = 67,989.64 : x
  2. Step 2: Convert to fraction form
    167,827.56/251,742 = 67,989.64/x
  3. Step 3: Cross multiply
    167,827.56x = 251,742 × 67,989.64
  4. Step 4: Simplify right side
    167,827.56x = 17,115,847,952.88
  5. Step 5: Solve for x
    x = 17,115,847,952.88/167,827.56
  6. Step 6: Final answer
    x = 101,984.73

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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.