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Finding the Fourth Proportional to 101,959.97, 140,727.25 and 56,653.52

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Solution

The fourth proportional to 101,959.97, 140,727.25 and 56,653.52 is: 78,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.97 : 140,727.25 = 56,653.52 : x
  2. Step 2: Convert to fraction form
    101,959.97/140,727.25 = 56,653.52/x
  3. Step 3: Cross multiply
    101,959.97x = 140,727.25 × 56,653.52
  4. Step 4: Simplify right side
    101,959.97x = 7,972,694,072.42
  5. Step 5: Solve for x
    x = 7,972,694,072.42/101,959.97
  6. Step 6: Final answer
    x = 78,194.35

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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.