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Finding the Fourth Proportional to 205,757.57, 283,933.95 and 115,096.03

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Solution

The fourth proportional to 205,757.57, 283,933.95 and 115,096.03 is: 158,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,757.57 : 283,933.95 = 115,096.03 : x
  2. Step 2: Convert to fraction form
    205,757.57/283,933.95 = 115,096.03/x
  3. Step 3: Cross multiply
    205,757.57x = 283,933.95 × 115,096.03
  4. Step 4: Simplify right side
    205,757.57x = 32,679,670,427.22
  5. Step 5: Solve for x
    x = 32,679,670,427.22/205,757.57
  6. Step 6: Final answer
    x = 158,826.09

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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.