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Finding the Fourth Proportional to 311,896.93, 467,762.37 and 87,243.43

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Solution

The fourth proportional to 311,896.93, 467,762.37 and 87,243.43 is: 130,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,896.93 : 467,762.37 = 87,243.43 : x
  2. Step 2: Convert to fraction form
    311,896.93/467,762.37 = 87,243.43/x
  3. Step 3: Cross multiply
    311,896.93x = 467,762.37 × 87,243.43
  4. Step 4: Simplify right side
    311,896.93x = 40,809,193,583.73
  5. Step 5: Solve for x
    x = 40,809,193,583.73/311,896.93
  6. Step 6: Final answer
    x = 130,841.92

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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.