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Finding the Fourth Proportional to 167,882.25, 251,823.39 and 57,074.25

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Solution

The fourth proportional to 167,882.25, 251,823.39 and 57,074.25 is: 85,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,882.25 : 251,823.39 = 57,074.25 : x
  2. Step 2: Convert to fraction form
    167,882.25/251,823.39 = 57,074.25/x
  3. Step 3: Cross multiply
    167,882.25x = 251,823.39 × 57,074.25
  4. Step 4: Simplify right side
    167,882.25x = 14,372,631,116.71
  5. Step 5: Solve for x
    x = 14,372,631,116.71/167,882.25
  6. Step 6: Final answer
    x = 85,611.38

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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.