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Finding the Fourth Proportional to 199,761.96, 275,668.74 and 109,116.84

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Solution

The fourth proportional to 199,761.96, 275,668.74 and 109,116.84 is: 150,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,761.96 : 275,668.74 = 109,116.84 : x
  2. Step 2: Convert to fraction form
    199,761.96/275,668.74 = 109,116.84/x
  3. Step 3: Cross multiply
    199,761.96x = 275,668.74 × 109,116.84
  4. Step 4: Simplify right side
    199,761.96x = 30,080,101,795.58
  5. Step 5: Solve for x
    x = 30,080,101,795.58/199,761.96
  6. Step 6: Final answer
    x = 150,579.73

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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.