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Finding the Fourth Proportional to 205,451.65, 283,517.82 and 114,808.36

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Solution

The fourth proportional to 205,451.65, 283,517.82 and 114,808.36 is: 158,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,451.65 : 283,517.82 = 114,808.36 : x
  2. Step 2: Convert to fraction form
    205,451.65/283,517.82 = 114,808.36/x
  3. Step 3: Cross multiply
    205,451.65x = 283,517.82 × 114,808.36
  4. Step 4: Simplify right side
    205,451.65x = 32,550,215,944.98
  5. Step 5: Solve for x
    x = 32,550,215,944.98/205,451.65
  6. Step 6: Final answer
    x = 158,432.49

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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.