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Finding the Fourth Proportional to 263,188.63, 394,815.75 and 85,647.97

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Solution

The fourth proportional to 263,188.63, 394,815.75 and 85,647.97 is: 128,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,188.63 : 394,815.75 = 85,647.97 : x
  2. Step 2: Convert to fraction form
    263,188.63/394,815.75 = 85,647.97/x
  3. Step 3: Cross multiply
    263,188.63x = 394,815.75 × 85,647.97
  4. Step 4: Simplify right side
    263,188.63x = 33,815,167,511.53
  5. Step 5: Solve for x
    x = 33,815,167,511.53/263,188.63
  6. Step 6: Final answer
    x = 128,482.63

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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.