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Finding the Fourth Proportional to 241,405.20, 361,877.40 and 188,067.60

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Solution

The fourth proportional to 241,405.20, 361,877.40 and 188,067.60 is: 281,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405.20 : 361,877.40 = 188,067.60 : x
  2. Step 2: Convert to fraction form
    241,405.20/361,877.40 = 188,067.60/x
  3. Step 3: Cross multiply
    241,405.20x = 361,877.40 × 188,067.60
  4. Step 4: Simplify right side
    241,405.20x = 68,057,414,112.24
  5. Step 5: Solve for x
    x = 68,057,414,112.24/241,405.20
  6. Step 6: Final answer
    x = 281,921.91

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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.