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Finding the Fourth Proportional to 254,281.75, 381,422.62 and 198,163.84

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Solution

The fourth proportional to 254,281.75, 381,422.62 and 198,163.84 is: 297,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,281.75 : 381,422.62 = 198,163.84 : x
  2. Step 2: Convert to fraction form
    254,281.75/381,422.62 = 198,163.84/x
  3. Step 3: Cross multiply
    254,281.75x = 381,422.62 × 198,163.84
  4. Step 4: Simplify right side
    254,281.75x = 75,584,171,042.06
  5. Step 5: Solve for x
    x = 75,584,171,042.06/254,281.75
  6. Step 6: Final answer
    x = 297,245.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.