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Finding the Fourth Proportional to 205,336.96, 283,361.99 and 114,694.24

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Solution

The fourth proportional to 205,336.96, 283,361.99 and 114,694.24 is: 158,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,336.96 : 283,361.99 = 114,694.24 : x
  2. Step 2: Convert to fraction form
    205,336.96/283,361.99 = 114,694.24/x
  3. Step 3: Cross multiply
    205,336.96x = 283,361.99 × 114,694.24
  4. Step 4: Simplify right side
    205,336.96x = 32,499,988,087.94
  5. Step 5: Solve for x
    x = 32,499,988,087.94/205,336.96
  6. Step 6: Final answer
    x = 158,276.37

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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.