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Finding the Fourth Proportional to 205,348.14, 283,377.30 and 114,705.42

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Solution

The fourth proportional to 205,348.14, 283,377.30 and 114,705.42 is: 158,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,348.14 : 283,377.30 = 114,705.42 : x
  2. Step 2: Convert to fraction form
    205,348.14/283,377.30 = 114,705.42/x
  3. Step 3: Cross multiply
    205,348.14x = 283,377.30 × 114,705.42
  4. Step 4: Simplify right side
    205,348.14x = 32,504,912,214.97
  5. Step 5: Solve for x
    x = 32,504,912,214.97/205,348.14
  6. Step 6: Final answer
    x = 158,291.73

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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.