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Finding the Fourth Proportional to 205,519.52, 283,616.84 and 120,636.59

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Solution

The fourth proportional to 205,519.52, 283,616.84 and 120,636.59 is: 166,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.52 : 283,616.84 = 120,636.59 : x
  2. Step 2: Convert to fraction form
    205,519.52/283,616.84 = 120,636.59/x
  3. Step 3: Cross multiply
    205,519.52x = 283,616.84 × 120,636.59
  4. Step 4: Simplify right side
    205,519.52x = 34,214,566,422.91
  5. Step 5: Solve for x
    x = 34,214,566,422.91/205,519.52
  6. Step 6: Final answer
    x = 166,478.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.