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Finding the Fourth Proportional to 167,761.41, 251,703.89 and 77,847.17

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Solution

The fourth proportional to 167,761.41, 251,703.89 and 77,847.17 is: 116,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,761.41 : 251,703.89 = 77,847.17 : x
  2. Step 2: Convert to fraction form
    167,761.41/251,703.89 = 77,847.17/x
  3. Step 3: Cross multiply
    167,761.41x = 251,703.89 × 77,847.17
  4. Step 4: Simplify right side
    167,761.41x = 19,594,433,866.74
  5. Step 5: Solve for x
    x = 19,594,433,866.74/167,761.41
  6. Step 6: Final answer
    x = 116,799.41

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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.