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Finding the Fourth Proportional to 171,884.64, 257,563.23 and 71,990.17

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Solution

The fourth proportional to 171,884.64, 257,563.23 and 71,990.17 is: 107,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,884.64 : 257,563.23 = 71,990.17 : x
  2. Step 2: Convert to fraction form
    171,884.64/257,563.23 = 71,990.17/x
  3. Step 3: Cross multiply
    171,884.64x = 257,563.23 × 71,990.17
  4. Step 4: Simplify right side
    171,884.64x = 18,542,020,713.45
  5. Step 5: Solve for x
    x = 18,542,020,713.45/171,884.64
  6. Step 6: Final answer
    x = 107,874.80

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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.