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Finding the Fourth Proportional to 167,761.94, 251,650.80 and 49,434.30

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Solution

The fourth proportional to 167,761.94, 251,650.80 and 49,434.30 is: 74,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,761.94 : 251,650.80 = 49,434.30 : x
  2. Step 2: Convert to fraction form
    167,761.94/251,650.80 = 49,434.30/x
  3. Step 3: Cross multiply
    167,761.94x = 251,650.80 × 49,434.30
  4. Step 4: Simplify right side
    167,761.94x = 12,440,181,142.44
  5. Step 5: Solve for x
    x = 12,440,181,142.44/167,761.94
  6. Step 6: Final answer
    x = 74,153.78

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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.