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Finding the Fourth Proportional to 204,702.80, 282,481.84 and 114,056.44

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Solution

The fourth proportional to 204,702.80, 282,481.84 and 114,056.44 is: 157,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,702.80 : 282,481.84 = 114,056.44 : x
  2. Step 2: Convert to fraction form
    204,702.80/282,481.84 = 114,056.44/x
  3. Step 3: Cross multiply
    204,702.80x = 282,481.84 × 114,056.44
  4. Step 4: Simplify right side
    204,702.80x = 32,218,873,035.05
  5. Step 5: Solve for x
    x = 32,218,873,035.05/204,702.80
  6. Step 6: Final answer
    x = 157,393.42

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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.