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Finding the Fourth Proportional to 263,102.59, 394,753.31 and 157,994.83

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Solution

The fourth proportional to 263,102.59, 394,753.31 and 157,994.83 is: 237,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,102.59 : 394,753.31 = 157,994.83 : x
  2. Step 2: Convert to fraction form
    263,102.59/394,753.31 = 157,994.83/x
  3. Step 3: Cross multiply
    263,102.59x = 394,753.31 × 157,994.83
  4. Step 4: Simplify right side
    263,102.59x = 62,368,982,105.39
  5. Step 5: Solve for x
    x = 62,368,982,105.39/263,102.59
  6. Step 6: Final answer
    x = 237,051.95

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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.