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Finding the Fourth Proportional to 198,364, 297,546.04 and 50,620

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Solution

The fourth proportional to 198,364, 297,546.04 and 50,620 is: 75,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,364 : 297,546.04 = 50,620 : x
  2. Step 2: Convert to fraction form
    198,364/297,546.04 = 50,620/x
  3. Step 3: Cross multiply
    198,364x = 297,546.04 × 50,620
  4. Step 4: Simplify right side
    198,364x = 15,061,780,544.80
  5. Step 5: Solve for x
    x = 15,061,780,544.80/198,364
  6. Step 6: Final answer
    x = 75,930.01

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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.