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Finding the Fourth Proportional to 118,161.51, 177,241.92 and 29,414.94

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Solution

The fourth proportional to 118,161.51, 177,241.92 and 29,414.94 is: 44,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,161.51 : 177,241.92 = 29,414.94 : x
  2. Step 2: Convert to fraction form
    118,161.51/177,241.92 = 29,414.94/x
  3. Step 3: Cross multiply
    118,161.51x = 177,241.92 × 29,414.94
  4. Step 4: Simplify right side
    118,161.51x = 5,213,560,442.28
  5. Step 5: Solve for x
    x = 5,213,560,442.28/118,161.51
  6. Step 6: Final answer
    x = 44,122.32

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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.