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Finding the Fourth Proportional to 198,306.75, 296,893.34 and 185,736.98

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Solution

The fourth proportional to 198,306.75, 296,893.34 and 185,736.98 is: 278,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,306.75 : 296,893.34 = 185,736.98 : x
  2. Step 2: Convert to fraction form
    198,306.75/296,893.34 = 185,736.98/x
  3. Step 3: Cross multiply
    198,306.75x = 296,893.34 × 185,736.98
  4. Step 4: Simplify right side
    198,306.75x = 55,144,069,940.56
  5. Step 5: Solve for x
    x = 55,144,069,940.56/198,306.75
  6. Step 6: Final answer
    x = 278,074.60

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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.