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Finding the Fourth Proportional to 200,441.97, 276,611.37 and 109,806.21

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Solution

The fourth proportional to 200,441.97, 276,611.37 and 109,806.21 is: 151,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,441.97 : 276,611.37 = 109,806.21 : x
  2. Step 2: Convert to fraction form
    200,441.97/276,611.37 = 109,806.21/x
  3. Step 3: Cross multiply
    200,441.97x = 276,611.37 × 109,806.21
  4. Step 4: Simplify right side
    200,441.97x = 30,373,646,182.61
  5. Step 5: Solve for x
    x = 30,373,646,182.61/200,441.97
  6. Step 6: Final answer
    x = 151,533.36

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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.