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Finding the Fourth Proportional to 224,571.82, 309,961.23 and 148,104.73

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Solution

The fourth proportional to 224,571.82, 309,961.23 and 148,104.73 is: 204,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,571.82 : 309,961.23 = 148,104.73 : x
  2. Step 2: Convert to fraction form
    224,571.82/309,961.23 = 148,104.73/x
  3. Step 3: Cross multiply
    224,571.82x = 309,961.23 × 148,104.73
  4. Step 4: Simplify right side
    224,571.82x = 45,906,724,279.62
  5. Step 5: Solve for x
    x = 45,906,724,279.62/224,571.82
  6. Step 6: Final answer
    x = 204,418.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.