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Finding the Fourth Proportional to 204,443.81, 282,140.78 and 113,794.03

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Solution

The fourth proportional to 204,443.81, 282,140.78 and 113,794.03 is: 157,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,443.81 : 282,140.78 = 113,794.03 : x
  2. Step 2: Convert to fraction form
    204,443.81/282,140.78 = 113,794.03/x
  3. Step 3: Cross multiply
    204,443.81x = 282,140.78 × 113,794.03
  4. Step 4: Simplify right side
    204,443.81x = 32,105,936,383.54
  5. Step 5: Solve for x
    x = 32,105,936,383.54/204,443.81
  6. Step 6: Final answer
    x = 157,040.39

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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.