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Finding the Fourth Proportional to 225,896.28, 338,392.62 and 135,889.38

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Solution

The fourth proportional to 225,896.28, 338,392.62 and 135,889.38 is: 203,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,896.28 : 338,392.62 = 135,889.38 : x
  2. Step 2: Convert to fraction form
    225,896.28/338,392.62 = 135,889.38/x
  3. Step 3: Cross multiply
    225,896.28x = 338,392.62 × 135,889.38
  4. Step 4: Simplify right side
    225,896.28x = 45,983,963,328.38
  5. Step 5: Solve for x
    x = 45,983,963,328.38/225,896.28
  6. Step 6: Final answer
    x = 203,562.29

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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.