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Finding the Fourth Proportional to 204,033.80, 305,749.38 and 98,727.32

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Solution

The fourth proportional to 204,033.80, 305,749.38 and 98,727.32 is: 147,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033.80 : 305,749.38 = 98,727.32 : x
  2. Step 2: Convert to fraction form
    204,033.80/305,749.38 = 98,727.32/x
  3. Step 3: Cross multiply
    204,033.80x = 305,749.38 × 98,727.32
  4. Step 4: Simplify right side
    204,033.80x = 30,185,816,879.06
  5. Step 5: Solve for x
    x = 30,185,816,879.06/204,033.80
  6. Step 6: Final answer
    x = 147,945.18

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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.