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Finding the Fourth Proportional to 205,550.73, 283,541.72 and 120,651.39

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Solution

The fourth proportional to 205,550.73, 283,541.72 and 120,651.39 is: 166,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,550.73 : 283,541.72 = 120,651.39 : x
  2. Step 2: Convert to fraction form
    205,550.73/283,541.72 = 120,651.39/x
  3. Step 3: Cross multiply
    205,550.73x = 283,541.72 × 120,651.39
  4. Step 4: Simplify right side
    205,550.73x = 34,209,702,037.73
  5. Step 5: Solve for x
    x = 34,209,702,037.73/205,550.73
  6. Step 6: Final answer
    x = 166,429.48

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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.