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Finding the Fourth Proportional to 204,994.92, 282,893.43 and 114,348.54

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Solution

The fourth proportional to 204,994.92, 282,893.43 and 114,348.54 is: 157,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,994.92 : 282,893.43 = 114,348.54 : x
  2. Step 2: Convert to fraction form
    204,994.92/282,893.43 = 114,348.54/x
  3. Step 3: Cross multiply
    204,994.92x = 282,893.43 × 114,348.54
  4. Step 4: Simplify right side
    204,994.92x = 32,348,450,696.09
  5. Step 5: Solve for x
    x = 32,348,450,696.09/204,994.92
  6. Step 6: Final answer
    x = 157,801.23

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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.