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Finding the Fourth Proportional to 269,063.63, 371,294.11 and 148,202.31

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Solution

The fourth proportional to 269,063.63, 371,294.11 and 148,202.31 is: 204,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,063.63 : 371,294.11 = 148,202.31 : x
  2. Step 2: Convert to fraction form
    269,063.63/371,294.11 = 148,202.31/x
  3. Step 3: Cross multiply
    269,063.63x = 371,294.11 × 148,202.31
  4. Step 4: Simplify right side
    269,063.63x = 55,026,644,791.39
  5. Step 5: Solve for x
    x = 55,026,644,791.39/269,063.63
  6. Step 6: Final answer
    x = 204,511.64

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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.