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Finding the Fourth Proportional to 204,893.03, 282,789.73 and 118,907.03

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Solution

The fourth proportional to 204,893.03, 282,789.73 and 118,907.03 is: 164,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,893.03 : 282,789.73 = 118,907.03 : x
  2. Step 2: Convert to fraction form
    204,893.03/282,789.73 = 118,907.03/x
  3. Step 3: Cross multiply
    204,893.03x = 282,789.73 × 118,907.03
  4. Step 4: Simplify right side
    204,893.03x = 33,625,687,764.41
  5. Step 5: Solve for x
    x = 33,625,687,764.41/204,893.03
  6. Step 6: Final answer
    x = 164,113.38

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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.