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Finding the Fourth Proportional to 226,255.49, 311,976.70 and 144,476.21

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Solution

The fourth proportional to 226,255.49, 311,976.70 and 144,476.21 is: 199,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,255.49 : 311,976.70 = 144,476.21 : x
  2. Step 2: Convert to fraction form
    226,255.49/311,976.70 = 144,476.21/x
  3. Step 3: Cross multiply
    226,255.49x = 311,976.70 × 144,476.21
  4. Step 4: Simplify right side
    226,255.49x = 45,073,211,713.38
  5. Step 5: Solve for x
    x = 45,073,211,713.38/226,255.49
  6. Step 6: Final answer
    x = 199,213.78

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Why These Related Problems?

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