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Finding the Fourth Proportional to 204,004.80, 305,796.60 and 91,738.80

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Solution

The fourth proportional to 204,004.80, 305,796.60 and 91,738.80 is: 137,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,004.80 : 305,796.60 = 91,738.80 : x
  2. Step 2: Convert to fraction form
    204,004.80/305,796.60 = 91,738.80/x
  3. Step 3: Cross multiply
    204,004.80x = 305,796.60 × 91,738.80
  4. Step 4: Simplify right side
    204,004.80x = 28,053,413,128.08
  5. Step 5: Solve for x
    x = 28,053,413,128.08/204,004.80
  6. Step 6: Final answer
    x = 137,513.50

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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.