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Finding the Fourth Proportional to 204,322.40, 306,629.40 and 115,481.60

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Solution

The fourth proportional to 204,322.40, 306,629.40 and 115,481.60 is: 173,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,322.40 : 306,629.40 = 115,481.60 : x
  2. Step 2: Convert to fraction form
    204,322.40/306,629.40 = 115,481.60/x
  3. Step 3: Cross multiply
    204,322.40x = 306,629.40 × 115,481.60
  4. Step 4: Simplify right side
    204,322.40x = 35,410,053,719.04
  5. Step 5: Solve for x
    x = 35,410,053,719.04/204,322.40
  6. Step 6: Final answer
    x = 173,304.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.