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Finding the Fourth Proportional to 205,696.54, 283,887.52 and 115,057.54

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Solution

The fourth proportional to 205,696.54, 283,887.52 and 115,057.54 is: 158,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,696.54 : 283,887.52 = 115,057.54 : x
  2. Step 2: Convert to fraction form
    205,696.54/283,887.52 = 115,057.54/x
  3. Step 3: Cross multiply
    205,696.54x = 283,887.52 × 115,057.54
  4. Step 4: Simplify right side
    205,696.54x = 32,663,399,687.90
  5. Step 5: Solve for x
    x = 32,663,399,687.90/205,696.54
  6. Step 6: Final answer
    x = 158,794.11

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Why These Related Problems?

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