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Finding the Fourth Proportional to 206,104.48, 307,310.60 and 202,372

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Solution

The fourth proportional to 206,104.48, 307,310.60 and 202,372 is: 301,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,104.48 : 307,310.60 = 202,372 : x
  2. Step 2: Convert to fraction form
    206,104.48/307,310.60 = 202,372/x
  3. Step 3: Cross multiply
    206,104.48x = 307,310.60 × 202,372
  4. Step 4: Simplify right side
    206,104.48x = 62,191,060,743.20
  5. Step 5: Solve for x
    x = 62,191,060,743.20/206,104.48
  6. Step 6: Final answer
    x = 301,745.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.