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Finding the Fourth Proportional to 199,204.88, 274,902.74 and 109,780.88

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Solution

The fourth proportional to 199,204.88, 274,902.74 and 109,780.88 is: 151,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,204.88 : 274,902.74 = 109,780.88 : x
  2. Step 2: Convert to fraction form
    199,204.88/274,902.74 = 109,780.88/x
  3. Step 3: Cross multiply
    199,204.88x = 274,902.74 × 109,780.88
  4. Step 4: Simplify right side
    199,204.88x = 30,179,062,788.19
  5. Step 5: Solve for x
    x = 30,179,062,788.19/199,204.88
  6. Step 6: Final answer
    x = 151,497.61

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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.