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Finding the Fourth Proportional to 205,041.44, 282,959.52 and 115,617.44

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Solution

The fourth proportional to 205,041.44, 282,959.52 and 115,617.44 is: 159,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,041.44 : 282,959.52 = 115,617.44 : x
  2. Step 2: Convert to fraction form
    205,041.44/282,959.52 = 115,617.44/x
  3. Step 3: Cross multiply
    205,041.44x = 282,959.52 × 115,617.44
  4. Step 4: Simplify right side
    205,041.44x = 32,715,055,326.03
  5. Step 5: Solve for x
    x = 32,715,055,326.03/205,041.44
  6. Step 6: Final answer
    x = 159,553.38

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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.