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Finding the Fourth Proportional to 200,410.54, 276,556.69 and 109,766.90

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Solution

The fourth proportional to 200,410.54, 276,556.69 and 109,766.90 is: 151,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,410.54 : 276,556.69 = 109,766.90 : x
  2. Step 2: Convert to fraction form
    200,410.54/276,556.69 = 109,766.90/x
  3. Step 3: Cross multiply
    200,410.54x = 276,556.69 × 109,766.90
  4. Step 4: Simplify right side
    200,410.54x = 30,356,770,535.56
  5. Step 5: Solve for x
    x = 30,356,770,535.56/200,410.54
  6. Step 6: Final answer
    x = 151,472.92

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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.