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Finding the Fourth Proportional to 204,893.41, 282,790.25 and 118,907.41

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Solution

The fourth proportional to 204,893.41, 282,790.25 and 118,907.41 is: 164,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,893.41 : 282,790.25 = 118,907.41 : x
  2. Step 2: Convert to fraction form
    204,893.41/282,790.25 = 118,907.41/x
  3. Step 3: Cross multiply
    204,893.41x = 282,790.25 × 118,907.41
  4. Step 4: Simplify right side
    204,893.41x = 33,625,855,345.14
  5. Step 5: Solve for x
    x = 33,625,855,345.14/204,893.41
  6. Step 6: Final answer
    x = 164,113.90

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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.