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Finding the Fourth Proportional to 199,205.41, 274,903.47 and 109,781.41

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Solution

The fourth proportional to 199,205.41, 274,903.47 and 109,781.41 is: 151,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,205.41 : 274,903.47 = 109,781.41 : x
  2. Step 2: Convert to fraction form
    199,205.41/274,903.47 = 109,781.41/x
  3. Step 3: Cross multiply
    199,205.41x = 274,903.47 × 109,781.41
  4. Step 4: Simplify right side
    199,205.41x = 30,179,290,550.49
  5. Step 5: Solve for x
    x = 30,179,290,550.49/199,205.41
  6. Step 6: Final answer
    x = 151,498.35

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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.