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Finding the Fourth Proportional to 205,463.67, 283,540.25 and 114,819.64

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Solution

The fourth proportional to 205,463.67, 283,540.25 and 114,819.64 is: 158,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,463.67 : 283,540.25 = 114,819.64 : x
  2. Step 2: Convert to fraction form
    205,463.67/283,540.25 = 114,819.64/x
  3. Step 3: Cross multiply
    205,463.67x = 283,540.25 × 114,819.64
  4. Step 4: Simplify right side
    205,463.67x = 32,555,988,012.81
  5. Step 5: Solve for x
    x = 32,555,988,012.81/205,463.67
  6. Step 6: Final answer
    x = 158,451.31

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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.