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Finding the Fourth Proportional to 199,198.56, 274,894.02 and 109,774.56

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Solution

The fourth proportional to 199,198.56, 274,894.02 and 109,774.56 is: 151,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,198.56 : 274,894.02 = 109,774.56 : x
  2. Step 2: Convert to fraction form
    199,198.56/274,894.02 = 109,774.56/x
  3. Step 3: Cross multiply
    199,198.56x = 274,894.02 × 109,774.56
  4. Step 4: Simplify right side
    199,198.56x = 30,176,370,092.13
  5. Step 5: Solve for x
    x = 30,176,370,092.13/199,198.56
  6. Step 6: Final answer
    x = 151,488.90

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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.