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Finding the Fourth Proportional to 199,210.41, 274,910.37 and 109,786.41

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Solution

The fourth proportional to 199,210.41, 274,910.37 and 109,786.41 is: 151,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,210.41 : 274,910.37 = 109,786.41 : x
  2. Step 2: Convert to fraction form
    199,210.41/274,910.37 = 109,786.41/x
  3. Step 3: Cross multiply
    199,210.41x = 274,910.37 × 109,786.41
  4. Step 4: Simplify right side
    199,210.41x = 30,181,422,594.07
  5. Step 5: Solve for x
    x = 30,181,422,594.07/199,210.41
  6. Step 6: Final answer
    x = 151,505.25

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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.