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Finding the Fourth Proportional to 204,846.92, 282,665.92 and 114,196.04

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Solution

The fourth proportional to 204,846.92, 282,665.92 and 114,196.04 is: 157,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,846.92 : 282,665.92 = 114,196.04 : x
  2. Step 2: Convert to fraction form
    204,846.92/282,665.92 = 114,196.04/x
  3. Step 3: Cross multiply
    204,846.92x = 282,665.92 × 114,196.04
  4. Step 4: Simplify right side
    204,846.92x = 32,279,328,706.96
  5. Step 5: Solve for x
    x = 32,279,328,706.96/204,846.92
  6. Step 6: Final answer
    x = 157,577.81

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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.