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Finding the Fourth Proportional to 226,522.36, 339,571.32 and 76,657.73

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Solution

The fourth proportional to 226,522.36, 339,571.32 and 76,657.73 is: 114,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,522.36 : 339,571.32 = 76,657.73 : x
  2. Step 2: Convert to fraction form
    226,522.36/339,571.32 = 76,657.73/x
  3. Step 3: Cross multiply
    226,522.36x = 339,571.32 × 76,657.73
  4. Step 4: Simplify right side
    226,522.36x = 26,030,765,010.18
  5. Step 5: Solve for x
    x = 26,030,765,010.18/226,522.36
  6. Step 6: Final answer
    x = 114,914.77

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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.