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Finding the Fourth Proportional to 164,414.80, 246,622.20 and 75,841.30

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Solution

The fourth proportional to 164,414.80, 246,622.20 and 75,841.30 is: 113,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,414.80 : 246,622.20 = 75,841.30 : x
  2. Step 2: Convert to fraction form
    164,414.80/246,622.20 = 75,841.30/x
  3. Step 3: Cross multiply
    164,414.80x = 246,622.20 × 75,841.30
  4. Step 4: Simplify right side
    164,414.80x = 18,704,148,256.86
  5. Step 5: Solve for x
    x = 18,704,148,256.86/164,414.80
  6. Step 6: Final answer
    x = 113,761.95

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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.