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Finding the Fourth Proportional to 167,385.84, 251,086.35 and 47,451.37

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Solution

The fourth proportional to 167,385.84, 251,086.35 and 47,451.37 is: 71,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,385.84 : 251,086.35 = 47,451.37 : x
  2. Step 2: Convert to fraction form
    167,385.84/251,086.35 = 47,451.37/x
  3. Step 3: Cross multiply
    167,385.84x = 251,086.35 × 47,451.37
  4. Step 4: Simplify right side
    167,385.84x = 11,914,391,295.80
  5. Step 5: Solve for x
    x = 11,914,391,295.80/167,385.84
  6. Step 6: Final answer
    x = 71,179.21

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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.