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Finding the Fourth Proportional to 204,729.80, 282,523.38 and 115,305.80

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Solution

The fourth proportional to 204,729.80, 282,523.38 and 115,305.80 is: 159,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,729.80 : 282,523.38 = 115,305.80 : x
  2. Step 2: Convert to fraction form
    204,729.80/282,523.38 = 115,305.80/x
  3. Step 3: Cross multiply
    204,729.80x = 282,523.38 × 115,305.80
  4. Step 4: Simplify right side
    204,729.80x = 32,576,584,349.60
  5. Step 5: Solve for x
    x = 32,576,584,349.60/204,729.80
  6. Step 6: Final answer
    x = 159,119.90

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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.