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Finding the Fourth Proportional to 199,081.75, 274,732.83 and 109,657.75

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Solution

The fourth proportional to 199,081.75, 274,732.83 and 109,657.75 is: 151,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,081.75 : 274,732.83 = 109,657.75 : x
  2. Step 2: Convert to fraction form
    199,081.75/274,732.83 = 109,657.75/x
  3. Step 3: Cross multiply
    199,081.75x = 274,732.83 × 109,657.75
  4. Step 4: Simplify right side
    199,081.75x = 30,126,583,988.93
  5. Step 5: Solve for x
    x = 30,126,583,988.93/199,081.75
  6. Step 6: Final answer
    x = 151,327.70

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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.