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Finding the Fourth Proportional to 204,471.96, 282,114.54 and 131,844.12

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Solution

The fourth proportional to 204,471.96, 282,114.54 and 131,844.12 is: 181,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,471.96 : 282,114.54 = 131,844.12 : x
  2. Step 2: Convert to fraction form
    204,471.96/282,114.54 = 131,844.12/x
  3. Step 3: Cross multiply
    204,471.96x = 282,114.54 × 131,844.12
  4. Step 4: Simplify right side
    204,471.96x = 37,195,143,265.50
  5. Step 5: Solve for x
    x = 37,195,143,265.50/204,471.96
  6. Step 6: Final answer
    x = 181,908.28

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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.