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Finding the Fourth Proportional to 115,930.80, 173,896.20 and 53,722.80

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Solution

The fourth proportional to 115,930.80, 173,896.20 and 53,722.80 is: 80,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,930.80 : 173,896.20 = 53,722.80 : x
  2. Step 2: Convert to fraction form
    115,930.80/173,896.20 = 53,722.80/x
  3. Step 3: Cross multiply
    115,930.80x = 173,896.20 × 53,722.80
  4. Step 4: Simplify right side
    115,930.80x = 9,342,190,773.36
  5. Step 5: Solve for x
    x = 9,342,190,773.36/115,930.80
  6. Step 6: Final answer
    x = 80,584.20

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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.