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Finding the Fourth Proportional to 118,057.26, 177,111.11 and 38,099.78

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Solution

The fourth proportional to 118,057.26, 177,111.11 and 38,099.78 is: 57,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,057.26 : 177,111.11 = 38,099.78 : x
  2. Step 2: Convert to fraction form
    118,057.26/177,111.11 = 38,099.78/x
  3. Step 3: Cross multiply
    118,057.26x = 177,111.11 × 38,099.78
  4. Step 4: Simplify right side
    118,057.26x = 6,747,894,578.83
  5. Step 5: Solve for x
    x = 6,747,894,578.83/118,057.26
  6. Step 6: Final answer
    x = 57,157.81

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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.