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Finding the Fourth Proportional to 200,414.20, 276,571.84 and 108,533.64

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Solution

The fourth proportional to 200,414.20, 276,571.84 and 108,533.64 is: 149,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,414.20 : 276,571.84 = 108,533.64 : x
  2. Step 2: Convert to fraction form
    200,414.20/276,571.84 = 108,533.64/x
  3. Step 3: Cross multiply
    200,414.20x = 276,571.84 × 108,533.64
  4. Step 4: Simplify right side
    200,414.20x = 30,017,348,516.70
  5. Step 5: Solve for x
    x = 30,017,348,516.70/200,414.20
  6. Step 6: Final answer
    x = 149,776.56

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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.