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Finding the Fourth Proportional to 363,083.09, 501,051.84 and 199,736.06

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Solution

The fourth proportional to 363,083.09, 501,051.84 and 199,736.06 is: 275,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,083.09 : 501,051.84 = 199,736.06 : x
  2. Step 2: Convert to fraction form
    363,083.09/501,051.84 = 199,736.06/x
  3. Step 3: Cross multiply
    363,083.09x = 501,051.84 × 199,736.06
  4. Step 4: Simplify right side
    363,083.09x = 100,078,120,377.35
  5. Step 5: Solve for x
    x = 100,078,120,377.35/363,083.09
  6. Step 6: Final answer
    x = 275,634.21

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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.