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Finding the Fourth Proportional to 199,261.26, 274,978.74 and 108,617.22

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Solution

The fourth proportional to 199,261.26, 274,978.74 and 108,617.22 is: 149,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,261.26 : 274,978.74 = 108,617.22 : x
  2. Step 2: Convert to fraction form
    199,261.26/274,978.74 = 108,617.22/x
  3. Step 3: Cross multiply
    199,261.26x = 274,978.74 × 108,617.22
  4. Step 4: Simplify right side
    199,261.26x = 29,867,426,297.90
  5. Step 5: Solve for x
    x = 29,867,426,297.90/199,261.26
  6. Step 6: Final answer
    x = 149,890.78

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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.