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Finding the Fourth Proportional to 205,418.43, 283,449.22 and 114,763.14

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Solution

The fourth proportional to 205,418.43, 283,449.22 and 114,763.14 is: 158,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,418.43 : 283,449.22 = 114,763.14 : x
  2. Step 2: Convert to fraction form
    205,418.43/283,449.22 = 114,763.14/x
  3. Step 3: Cross multiply
    205,418.43x = 283,449.22 × 114,763.14
  4. Step 4: Simplify right side
    205,418.43x = 32,529,522,230.84
  5. Step 5: Solve for x
    x = 32,529,522,230.84/205,418.43
  6. Step 6: Final answer
    x = 158,357.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.