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Finding the Fourth Proportional to 157,934, 236,901 and 41,198

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Solution

The fourth proportional to 157,934, 236,901 and 41,198 is: 61,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,934 : 236,901 = 41,198 : x
  2. Step 2: Convert to fraction form
    157,934/236,901 = 41,198/x
  3. Step 3: Cross multiply
    157,934x = 236,901 × 41,198
  4. Step 4: Simplify right side
    157,934x = 9,759,847,398
  5. Step 5: Solve for x
    x = 9,759,847,398/157,934
  6. Step 6: Final answer
    x = 61,797

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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.