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Finding the Fourth Proportional to 167,961, 251,939.94 and 68,097.45

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Solution

The fourth proportional to 167,961, 251,939.94 and 68,097.45 is: 102,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,961 : 251,939.94 = 68,097.45 : x
  2. Step 2: Convert to fraction form
    167,961/251,939.94 = 68,097.45/x
  3. Step 3: Cross multiply
    167,961x = 251,939.94 × 68,097.45
  4. Step 4: Simplify right side
    167,961x = 17,156,467,467.15
  5. Step 5: Solve for x
    x = 17,156,467,467.15/167,961
  6. Step 6: Final answer
    x = 102,145.54

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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.