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Finding the Fourth Proportional to 223,825.78, 335,738.70 and 76,081.78

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Solution

The fourth proportional to 223,825.78, 335,738.70 and 76,081.78 is: 114,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,825.78 : 335,738.70 = 76,081.78 : x
  2. Step 2: Convert to fraction form
    223,825.78/335,738.70 = 76,081.78/x
  3. Step 3: Cross multiply
    223,825.78x = 335,738.70 × 76,081.78
  4. Step 4: Simplify right side
    223,825.78x = 25,543,597,910.89
  5. Step 5: Solve for x
    x = 25,543,597,910.89/223,825.78
  6. Step 6: Final answer
    x = 114,122.68

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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.