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Finding the Fourth Proportional to 205,083.70, 307,625.55 and 182,965.30

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Solution

The fourth proportional to 205,083.70, 307,625.55 and 182,965.30 is: 274,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,083.70 : 307,625.55 = 182,965.30 : x
  2. Step 2: Convert to fraction form
    205,083.70/307,625.55 = 182,965.30/x
  3. Step 3: Cross multiply
    205,083.70x = 307,625.55 × 182,965.30
  4. Step 4: Simplify right side
    205,083.70x = 56,284,801,043.42
  5. Step 5: Solve for x
    x = 56,284,801,043.42/205,083.70
  6. Step 6: Final answer
    x = 274,447.95

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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.