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Finding the Fourth Proportional to 111,876.60, 167,747.88 and 75,897.24

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Solution

The fourth proportional to 111,876.60, 167,747.88 and 75,897.24 is: 113,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,876.60 : 167,747.88 = 75,897.24 : x
  2. Step 2: Convert to fraction form
    111,876.60/167,747.88 = 75,897.24/x
  3. Step 3: Cross multiply
    111,876.60x = 167,747.88 × 75,897.24
  4. Step 4: Simplify right side
    111,876.60x = 12,731,601,107.85
  5. Step 5: Solve for x
    x = 12,731,601,107.85/111,876.60
  6. Step 6: Final answer
    x = 113,800.39

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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.