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Finding the Fourth Proportional to 167,052.68, 250,460 and 78,257.78

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Solution

The fourth proportional to 167,052.68, 250,460 and 78,257.78 is: 117,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,052.68 : 250,460 = 78,257.78 : x
  2. Step 2: Convert to fraction form
    167,052.68/250,460 = 78,257.78/x
  3. Step 3: Cross multiply
    167,052.68x = 250,460 × 78,257.78
  4. Step 4: Simplify right side
    167,052.68x = 19,600,443,578.80
  5. Step 5: Solve for x
    x = 19,600,443,578.80/167,052.68
  6. Step 6: Final answer
    x = 117,330.91

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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.