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Finding the Fourth Proportional to 171,895.80, 257,843.70 and 72,022.80

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Solution

The fourth proportional to 171,895.80, 257,843.70 and 72,022.80 is: 108,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,895.80 : 257,843.70 = 72,022.80 : x
  2. Step 2: Convert to fraction form
    171,895.80/257,843.70 = 72,022.80/x
  3. Step 3: Cross multiply
    171,895.80x = 257,843.70 × 72,022.80
  4. Step 4: Simplify right side
    171,895.80x = 18,570,625,236.36
  5. Step 5: Solve for x
    x = 18,570,625,236.36/171,895.80
  6. Step 6: Final answer
    x = 108,034.20

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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.