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Finding the Fourth Proportional to 171,896.48, 257,677.06 and 72,086.68

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Solution

The fourth proportional to 171,896.48, 257,677.06 and 72,086.68 is: 108,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.48 : 257,677.06 = 72,086.68 : x
  2. Step 2: Convert to fraction form
    171,896.48/257,677.06 = 72,086.68/x
  3. Step 3: Cross multiply
    171,896.48x = 257,677.06 × 72,086.68
  4. Step 4: Simplify right side
    171,896.48x = 18,575,083,767.56
  5. Step 5: Solve for x
    x = 18,575,083,767.56/171,896.48
  6. Step 6: Final answer
    x = 108,059.71

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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.