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Finding the Fourth Proportional to 205,634.80, 283,776.78 and 119,614.42

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Solution

The fourth proportional to 205,634.80, 283,776.78 and 119,614.42 is: 165,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,634.80 : 283,776.78 = 119,614.42 : x
  2. Step 2: Convert to fraction form
    205,634.80/283,776.78 = 119,614.42/x
  3. Step 3: Cross multiply
    205,634.80x = 283,776.78 × 119,614.42
  4. Step 4: Simplify right side
    205,634.80x = 33,943,794,949.17
  5. Step 5: Solve for x
    x = 33,943,794,949.17/205,634.80
  6. Step 6: Final answer
    x = 165,068.34

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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.