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Finding the Fourth Proportional to 204,470.96, 282,113.16 and 131,843.12

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Solution

The fourth proportional to 204,470.96, 282,113.16 and 131,843.12 is: 181,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,470.96 : 282,113.16 = 131,843.12 : x
  2. Step 2: Convert to fraction form
    204,470.96/282,113.16 = 131,843.12/x
  3. Step 3: Cross multiply
    204,470.96x = 282,113.16 × 131,843.12
  4. Step 4: Simplify right side
    204,470.96x = 37,194,679,207.46
  5. Step 5: Solve for x
    x = 37,194,679,207.46/204,470.96
  6. Step 6: Final answer
    x = 181,906.90

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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.