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Finding the Fourth Proportional to 205,360.31, 283,397.23 and 115,936.31

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Solution

The fourth proportional to 205,360.31, 283,397.23 and 115,936.31 is: 159,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,360.31 : 283,397.23 = 115,936.31 : x
  2. Step 2: Convert to fraction form
    205,360.31/283,397.23 = 115,936.31/x
  3. Step 3: Cross multiply
    205,360.31x = 283,397.23 × 115,936.31
  4. Step 4: Simplify right side
    205,360.31x = 32,856,029,963.83
  5. Step 5: Solve for x
    x = 32,856,029,963.83/205,360.31
  6. Step 6: Final answer
    x = 159,992.11

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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.