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Finding the Fourth Proportional to 269,661.33, 404,106.46 and 198,021.88

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Solution

The fourth proportional to 269,661.33, 404,106.46 and 198,021.88 is: 296,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,661.33 : 404,106.46 = 198,021.88 : x
  2. Step 2: Convert to fraction form
    269,661.33/404,106.46 = 198,021.88/x
  3. Step 3: Cross multiply
    269,661.33x = 404,106.46 × 198,021.88
  4. Step 4: Simplify right side
    269,661.33x = 80,021,920,929.34
  5. Step 5: Solve for x
    x = 80,021,920,929.34/269,661.33
  6. Step 6: Final answer
    x = 296,749.71

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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.