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Finding the Fourth Proportional to 200,048.94, 276,074.94 and 109,399.56

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Solution

The fourth proportional to 200,048.94, 276,074.94 and 109,399.56 is: 150,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048.94 : 276,074.94 = 109,399.56 : x
  2. Step 2: Convert to fraction form
    200,048.94/276,074.94 = 109,399.56/x
  3. Step 3: Cross multiply
    200,048.94x = 276,074.94 × 109,399.56
  4. Step 4: Simplify right side
    200,048.94x = 30,202,476,963.03
  5. Step 5: Solve for x
    x = 30,202,476,963.03/200,048.94
  6. Step 6: Final answer
    x = 150,975.44

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1.5x scale

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.