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Finding the Fourth Proportional to 205,363.13, 283,401.12 and 115,939.13

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Solution

The fourth proportional to 205,363.13, 283,401.12 and 115,939.13 is: 159,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363.13 : 283,401.12 = 115,939.13 : x
  2. Step 2: Convert to fraction form
    205,363.13/283,401.12 = 115,939.13/x
  3. Step 3: Cross multiply
    205,363.13x = 283,401.12 × 115,939.13
  4. Step 4: Simplify right side
    205,363.13x = 32,857,277,876.82
  5. Step 5: Solve for x
    x = 32,857,277,876.82/205,363.13
  6. Step 6: Final answer
    x = 159,996.00

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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.