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Finding the Fourth Proportional to 205,696.92, 283,888.04 and 115,057.92

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Solution

The fourth proportional to 205,696.92, 283,888.04 and 115,057.92 is: 158,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,696.92 : 283,888.04 = 115,057.92 : x
  2. Step 2: Convert to fraction form
    205,696.92/283,888.04 = 115,057.92/x
  3. Step 3: Cross multiply
    205,696.92x = 283,888.04 × 115,057.92
  4. Step 4: Simplify right side
    205,696.92x = 32,663,567,395.28
  5. Step 5: Solve for x
    x = 32,663,567,395.28/205,696.92
  6. Step 6: Final answer
    x = 158,794.64

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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.