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Finding the Fourth Proportional to 225,810.33, 338,942.30 and 200,674.41

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Solution

The fourth proportional to 225,810.33, 338,942.30 and 200,674.41 is: 301,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810.33 : 338,942.30 = 200,674.41 : x
  2. Step 2: Convert to fraction form
    225,810.33/338,942.30 = 200,674.41/x
  3. Step 3: Cross multiply
    225,810.33x = 338,942.30 × 200,674.41
  4. Step 4: Simplify right side
    225,810.33x = 68,017,046,076.54
  5. Step 5: Solve for x
    x = 68,017,046,076.54/225,810.33
  6. Step 6: Final answer
    x = 301,213.17

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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.