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Finding the Fourth Proportional to 199,243.74, 274,956.14 and 108,599.88

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Solution

The fourth proportional to 199,243.74, 274,956.14 and 108,599.88 is: 149,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,243.74 : 274,956.14 = 108,599.88 : x
  2. Step 2: Convert to fraction form
    199,243.74/274,956.14 = 108,599.88/x
  3. Step 3: Cross multiply
    199,243.74x = 274,956.14 × 108,599.88
  4. Step 4: Simplify right side
    199,243.74x = 29,860,204,080.76
  5. Step 5: Solve for x
    x = 29,860,204,080.76/199,243.74
  6. Step 6: Final answer
    x = 149,867.72

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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.