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Finding the Fourth Proportional to 226,257.49, 311,979.46 and 144,478.21

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Solution

The fourth proportional to 226,257.49, 311,979.46 and 144,478.21 is: 199,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,257.49 : 311,979.46 = 144,478.21 : x
  2. Step 2: Convert to fraction form
    226,257.49/311,979.46 = 144,478.21/x
  3. Step 3: Cross multiply
    226,257.49x = 311,979.46 × 144,478.21
  4. Step 4: Simplify right side
    226,257.49x = 45,074,233,937.57
  5. Step 5: Solve for x
    x = 45,074,233,937.57/226,257.49
  6. Step 6: Final answer
    x = 199,216.54

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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.