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Finding the Fourth Proportional to 171,584.93, 257,289.63 and 71,717.87

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Solution

The fourth proportional to 171,584.93, 257,289.63 and 71,717.87 is: 107,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,584.93 : 257,289.63 = 71,717.87 : x
  2. Step 2: Convert to fraction form
    171,584.93/257,289.63 = 71,717.87/x
  3. Step 3: Cross multiply
    171,584.93x = 257,289.63 × 71,717.87
  4. Step 4: Simplify right side
    171,584.93x = 18,452,264,236.69
  5. Step 5: Solve for x
    x = 18,452,264,236.69/171,584.93
  6. Step 6: Final answer
    x = 107,540.12

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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.