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Finding the Fourth Proportional to 200,608.76, 276,847.19 and 109,964.70

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Solution

The fourth proportional to 200,608.76, 276,847.19 and 109,964.70 is: 151,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,608.76 : 276,847.19 = 109,964.70 : x
  2. Step 2: Convert to fraction form
    200,608.76/276,847.19 = 109,964.70/x
  3. Step 3: Cross multiply
    200,608.76x = 276,847.19 × 109,964.70
  4. Step 4: Simplify right side
    200,608.76x = 30,443,418,194.19
  5. Step 5: Solve for x
    x = 30,443,418,194.19/200,608.76
  6. Step 6: Final answer
    x = 151,755.18

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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.