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Finding the Fourth Proportional to 198,546, 297,819 and 50,802

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Solution

The fourth proportional to 198,546, 297,819 and 50,802 is: 76,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,546 : 297,819 = 50,802 : x
  2. Step 2: Convert to fraction form
    198,546/297,819 = 50,802/x
  3. Step 3: Cross multiply
    198,546x = 297,819 × 50,802
  4. Step 4: Simplify right side
    198,546x = 15,129,800,838
  5. Step 5: Solve for x
    x = 15,129,800,838/198,546
  6. Step 6: Final answer
    x = 76,203

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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.