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Finding the Fourth Proportional to 204,559.96, 282,235.71 and 131,932.12

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Solution

The fourth proportional to 204,559.96, 282,235.71 and 131,932.12 is: 182,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,559.96 : 282,235.71 = 131,932.12 : x
  2. Step 2: Convert to fraction form
    204,559.96/282,235.71 = 131,932.12/x
  3. Step 3: Cross multiply
    204,559.96x = 282,235.71 × 131,932.12
  4. Step 4: Simplify right side
    204,559.96x = 37,235,955,560.01
  5. Step 5: Solve for x
    x = 37,235,955,560.01/204,559.96
  6. Step 6: Final answer
    x = 182,029.54

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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.