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Finding the Fourth Proportional to 117,229.72, 175,644.24 and 83,778.88

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Solution

The fourth proportional to 117,229.72, 175,644.24 and 83,778.88 is: 125,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,229.72 : 175,644.24 = 83,778.88 : x
  2. Step 2: Convert to fraction form
    117,229.72/175,644.24 = 83,778.88/x
  3. Step 3: Cross multiply
    117,229.72x = 175,644.24 × 83,778.88
  4. Step 4: Simplify right side
    117,229.72x = 14,715,277,705.65
  5. Step 5: Solve for x
    x = 14,715,277,705.65/117,229.72
  6. Step 6: Final answer
    x = 125,525.15

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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.