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Finding the Fourth Proportional to 205,042.44, 282,960.90 and 115,618.44

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Solution

The fourth proportional to 205,042.44, 282,960.90 and 115,618.44 is: 159,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.44 : 282,960.90 = 115,618.44 : x
  2. Step 2: Convert to fraction form
    205,042.44/282,960.90 = 115,618.44/x
  3. Step 3: Cross multiply
    205,042.44x = 282,960.90 × 115,618.44
  4. Step 4: Simplify right side
    205,042.44x = 32,715,497,839.00
  5. Step 5: Solve for x
    x = 32,715,497,839.00/205,042.44
  6. Step 6: Final answer
    x = 159,554.76

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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.