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Finding the Fourth Proportional to 167,132.83, 250,674.64 and 54,824.91

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Solution

The fourth proportional to 167,132.83, 250,674.64 and 54,824.91 is: 82,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,132.83 : 250,674.64 = 54,824.91 : x
  2. Step 2: Convert to fraction form
    167,132.83/250,674.64 = 54,824.91/x
  3. Step 3: Cross multiply
    167,132.83x = 250,674.64 × 54,824.91
  4. Step 4: Simplify right side
    167,132.83x = 13,743,215,585.84
  5. Step 5: Solve for x
    x = 13,743,215,585.84/167,132.83
  6. Step 6: Final answer
    x = 82,229.30

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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.