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Finding the Fourth Proportional to 205,694.93, 283,855.25 and 116,270.93

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Solution

The fourth proportional to 205,694.93, 283,855.25 and 116,270.93 is: 160,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,694.93 : 283,855.25 = 116,270.93 : x
  2. Step 2: Convert to fraction form
    205,694.93/283,855.25 = 116,270.93/x
  3. Step 3: Cross multiply
    205,694.93x = 283,855.25 × 116,270.93
  4. Step 4: Simplify right side
    205,694.93x = 33,004,113,321.53
  5. Step 5: Solve for x
    x = 33,004,113,321.53/205,694.93
  6. Step 6: Final answer
    x = 160,451.76

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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.