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Finding the Fourth Proportional to 199,204.97, 274,902.86 and 109,780.97

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Solution

The fourth proportional to 199,204.97, 274,902.86 and 109,780.97 is: 151,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,204.97 : 274,902.86 = 109,780.97 : x
  2. Step 2: Convert to fraction form
    199,204.97/274,902.86 = 109,780.97/x
  3. Step 3: Cross multiply
    199,204.97x = 274,902.86 × 109,780.97
  4. Step 4: Simplify right side
    199,204.97x = 30,179,103,588.28
  5. Step 5: Solve for x
    x = 30,179,103,588.28/199,204.97
  6. Step 6: Final answer
    x = 151,497.74

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1.5x scale

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.