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Finding the Fourth Proportional to 205,057.88, 307,481.46 and 92,677.28

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Solution

The fourth proportional to 205,057.88, 307,481.46 and 92,677.28 is: 138,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.88 : 307,481.46 = 92,677.28 : x
  2. Step 2: Convert to fraction form
    205,057.88/307,481.46 = 92,677.28/x
  3. Step 3: Cross multiply
    205,057.88x = 307,481.46 × 92,677.28
  4. Step 4: Simplify right side
    205,057.88x = 28,496,545,363.23
  5. Step 5: Solve for x
    x = 28,496,545,363.23/205,057.88
  6. Step 6: Final answer
    x = 138,968.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.