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Finding the Fourth Proportional to 205,696.36, 283,887.26 and 115,057.36

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Solution

The fourth proportional to 205,696.36, 283,887.26 and 115,057.36 is: 158,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,696.36 : 283,887.26 = 115,057.36 : x
  2. Step 2: Convert to fraction form
    205,696.36/283,887.26 = 115,057.36/x
  3. Step 3: Cross multiply
    205,696.36x = 283,887.26 × 115,057.36
  4. Step 4: Simplify right side
    205,696.36x = 32,663,318,673.23
  5. Step 5: Solve for x
    x = 32,663,318,673.23/205,696.36
  6. Step 6: Final answer
    x = 158,793.86

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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.