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Finding the Fourth Proportional to 204,927, 282,801.42 and 115,503

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Solution

The fourth proportional to 204,927, 282,801.42 and 115,503 is: 159,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,927 : 282,801.42 = 115,503 : x
  2. Step 2: Convert to fraction form
    204,927/282,801.42 = 115,503/x
  3. Step 3: Cross multiply
    204,927x = 282,801.42 × 115,503
  4. Step 4: Simplify right side
    204,927x = 32,664,412,414.26
  5. Step 5: Solve for x
    x = 32,664,412,414.26/204,927
  6. Step 6: Final answer
    x = 159,395.36

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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.