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Finding the Fourth Proportional to 106,994.91, 160,255.80 and 73,180.78

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Solution

The fourth proportional to 106,994.91, 160,255.80 and 73,180.78 is: 109,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,994.91 : 160,255.80 = 73,180.78 : x
  2. Step 2: Convert to fraction form
    106,994.91/160,255.80 = 73,180.78/x
  3. Step 3: Cross multiply
    106,994.91x = 160,255.80 × 73,180.78
  4. Step 4: Simplify right side
    106,994.91x = 11,727,644,443.52
  5. Step 5: Solve for x
    x = 11,727,644,443.52/106,994.91
  6. Step 6: Final answer
    x = 109,609.37

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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.