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Finding the Fourth Proportional to 198,624.62, 297,894.89 and 65,473.22

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Solution

The fourth proportional to 198,624.62, 297,894.89 and 65,473.22 is: 98,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,624.62 : 297,894.89 = 65,473.22 : x
  2. Step 2: Convert to fraction form
    198,624.62/297,894.89 = 65,473.22/x
  3. Step 3: Cross multiply
    198,624.62x = 297,894.89 × 65,473.22
  4. Step 4: Simplify right side
    198,624.62x = 19,504,138,087.22
  5. Step 5: Solve for x
    x = 19,504,138,087.22/198,624.62
  6. Step 6: Final answer
    x = 98,195.98

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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.