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Finding the Fourth Proportional to 198,735.86, 274,255.29 and 113,853.26

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Solution

The fourth proportional to 198,735.86, 274,255.29 and 113,853.26 is: 157,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,735.86 : 274,255.29 = 113,853.26 : x
  2. Step 2: Convert to fraction form
    198,735.86/274,255.29 = 113,853.26/x
  3. Step 3: Cross multiply
    198,735.86x = 274,255.29 × 113,853.26
  4. Step 4: Simplify right side
    198,735.86x = 31,224,858,838.75
  5. Step 5: Solve for x
    x = 31,224,858,838.75/198,735.86
  6. Step 6: Final answer
    x = 157,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.