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Finding the Fourth Proportional to 198,317, 273,677.46 and 108,893

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Solution

The fourth proportional to 198,317, 273,677.46 and 108,893 is: 150,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,317 : 273,677.46 = 108,893 : x
  2. Step 2: Convert to fraction form
    198,317/273,677.46 = 108,893/x
  3. Step 3: Cross multiply
    198,317x = 273,677.46 × 108,893
  4. Step 4: Simplify right side
    198,317x = 29,801,559,651.78
  5. Step 5: Solve for x
    x = 29,801,559,651.78/198,317
  6. Step 6: Final answer
    x = 150,272.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.