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Finding the Fourth Proportional to 167,081.80, 250,674.64 and 54,763

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Solution

The fourth proportional to 167,081.80, 250,674.64 and 54,763 is: 82,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,081.80 : 250,674.64 = 54,763 : x
  2. Step 2: Convert to fraction form
    167,081.80/250,674.64 = 54,763/x
  3. Step 3: Cross multiply
    167,081.80x = 250,674.64 × 54,763
  4. Step 4: Simplify right side
    167,081.80x = 13,727,695,310.32
  5. Step 5: Solve for x
    x = 13,727,695,310.32/167,081.80
  6. Step 6: Final answer
    x = 82,161.52

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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.