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Finding the Fourth Proportional to 167,067.16, 250,725.32 and 67,228.24

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Solution

The fourth proportional to 167,067.16, 250,725.32 and 67,228.24 is: 100,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,067.16 : 250,725.32 = 67,228.24 : x
  2. Step 2: Convert to fraction form
    167,067.16/250,725.32 = 67,228.24/x
  3. Step 3: Cross multiply
    167,067.16x = 250,725.32 × 67,228.24
  4. Step 4: Simplify right side
    167,067.16x = 16,855,821,987.04
  5. Step 5: Solve for x
    x = 16,855,821,987.04/167,067.16
  6. Step 6: Final answer
    x = 100,892.49

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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.