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Finding the Fourth Proportional to 241,540.80, 361,873.80 and 206,548.80

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Solution

The fourth proportional to 241,540.80, 361,873.80 and 206,548.80 is: 309,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,540.80 : 361,873.80 = 206,548.80 : x
  2. Step 2: Convert to fraction form
    241,540.80/361,873.80 = 206,548.80/x
  3. Step 3: Cross multiply
    241,540.80x = 361,873.80 × 206,548.80
  4. Step 4: Simplify right side
    241,540.80x = 74,744,599,141.44
  5. Step 5: Solve for x
    x = 74,744,599,141.44/241,540.80
  6. Step 6: Final answer
    x = 309,449.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.