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Finding the Fourth Proportional to 205,756.82, 283,952.49 and 120,873.14

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Solution

The fourth proportional to 205,756.82, 283,952.49 and 120,873.14 is: 166,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,756.82 : 283,952.49 = 120,873.14 : x
  2. Step 2: Convert to fraction form
    205,756.82/283,952.49 = 120,873.14/x
  3. Step 3: Cross multiply
    205,756.82x = 283,952.49 × 120,873.14
  4. Step 4: Simplify right side
    205,756.82x = 34,322,229,077.12
  5. Step 5: Solve for x
    x = 34,322,229,077.12/205,756.82
  6. Step 6: Final answer
    x = 166,809.68

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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.