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Finding the Fourth Proportional to 106,977.60, 160,423.20 and 36,820.80

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Solution

The fourth proportional to 106,977.60, 160,423.20 and 36,820.80 is: 55,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,977.60 : 160,423.20 = 36,820.80 : x
  2. Step 2: Convert to fraction form
    106,977.60/160,423.20 = 36,820.80/x
  3. Step 3: Cross multiply
    106,977.60x = 160,423.20 × 36,820.80
  4. Step 4: Simplify right side
    106,977.60x = 5,906,910,562.56
  5. Step 5: Solve for x
    x = 5,906,910,562.56/106,977.60
  6. Step 6: Final answer
    x = 55,216.33

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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.