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Finding the Fourth Proportional to 268,877.20, 403,315.80 and 198,893.20

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Solution

The fourth proportional to 268,877.20, 403,315.80 and 198,893.20 is: 298,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,877.20 : 403,315.80 = 198,893.20 : x
  2. Step 2: Convert to fraction form
    268,877.20/403,315.80 = 198,893.20/x
  3. Step 3: Cross multiply
    268,877.20x = 403,315.80 × 198,893.20
  4. Step 4: Simplify right side
    268,877.20x = 80,216,770,072.56
  5. Step 5: Solve for x
    x = 80,216,770,072.56/268,877.20
  6. Step 6: Final answer
    x = 298,339.80

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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.