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Finding the Fourth Proportional to 171,722.80, 257,584.20 and 76,952.80

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Solution

The fourth proportional to 171,722.80, 257,584.20 and 76,952.80 is: 115,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,722.80 : 257,584.20 = 76,952.80 : x
  2. Step 2: Convert to fraction form
    171,722.80/257,584.20 = 76,952.80/x
  3. Step 3: Cross multiply
    171,722.80x = 257,584.20 × 76,952.80
  4. Step 4: Simplify right side
    171,722.80x = 19,821,825,425.76
  5. Step 5: Solve for x
    x = 19,821,825,425.76/171,722.80
  6. Step 6: Final answer
    x = 115,429.20

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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.