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Finding the Fourth Proportional to 200,414.39, 276,571.97 and 109,770.32

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Solution

The fourth proportional to 200,414.39, 276,571.97 and 109,770.32 is: 151,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,414.39 : 276,571.97 = 109,770.32 : x
  2. Step 2: Convert to fraction form
    200,414.39/276,571.97 = 109,770.32/x
  3. Step 3: Cross multiply
    200,414.39x = 276,571.97 × 109,770.32
  4. Step 4: Simplify right side
    200,414.39x = 30,359,394,204.15
  5. Step 5: Solve for x
    x = 30,359,394,204.15/200,414.39
  6. Step 6: Final answer
    x = 151,483.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.