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Finding the Fourth Proportional to 167,755.92, 251,271 and 78,876.24

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Solution

The fourth proportional to 167,755.92, 251,271 and 78,876.24 is: 118,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,755.92 : 251,271 = 78,876.24 : x
  2. Step 2: Convert to fraction form
    167,755.92/251,271 = 78,876.24/x
  3. Step 3: Cross multiply
    167,755.92x = 251,271 × 78,876.24
  4. Step 4: Simplify right side
    167,755.92x = 19,819,311,701.04
  5. Step 5: Solve for x
    x = 19,819,311,701.04/167,755.92
  6. Step 6: Final answer
    x = 118,143.74

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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.