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Finding the Fourth Proportional to 263,809.58, 364,063.91 and 161,891.33

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Solution

The fourth proportional to 263,809.58, 364,063.91 and 161,891.33 is: 223,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,809.58 : 364,063.91 = 161,891.33 : x
  2. Step 2: Convert to fraction form
    263,809.58/364,063.91 = 161,891.33/x
  3. Step 3: Cross multiply
    263,809.58x = 364,063.91 × 161,891.33
  4. Step 4: Simplify right side
    263,809.58x = 58,938,787,965.12
  5. Step 5: Solve for x
    x = 58,938,787,965.12/263,809.58
  6. Step 6: Final answer
    x = 223,414.13

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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.