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Finding the Fourth Proportional to 118,600.88, 177,896.82 and 29,853.23

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Solution

The fourth proportional to 118,600.88, 177,896.82 and 29,853.23 is: 44,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,600.88 : 177,896.82 = 29,853.23 : x
  2. Step 2: Convert to fraction form
    118,600.88/177,896.82 = 29,853.23/x
  3. Step 3: Cross multiply
    118,600.88x = 177,896.82 × 29,853.23
  4. Step 4: Simplify right side
    118,600.88x = 5,310,794,683.73
  5. Step 5: Solve for x
    x = 5,310,794,683.73/118,600.88
  6. Step 6: Final answer
    x = 44,778.71

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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.