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Finding the Fourth Proportional to 205,383.96, 283,420.98 and 114,739.56

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Solution

The fourth proportional to 205,383.96, 283,420.98 and 114,739.56 is: 158,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,383.96 : 283,420.98 = 114,739.56 : x
  2. Step 2: Convert to fraction form
    205,383.96/283,420.98 = 114,739.56/x
  3. Step 3: Cross multiply
    205,383.96x = 283,420.98 × 114,739.56
  4. Step 4: Simplify right side
    205,383.96x = 32,519,598,539.97
  5. Step 5: Solve for x
    x = 32,519,598,539.97/205,383.96
  6. Step 6: Final answer
    x = 158,335.63

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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.