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Finding the Fourth Proportional to 109,410.54, 164,050.20 and 50,172

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Solution

The fourth proportional to 109,410.54, 164,050.20 and 50,172 is: 75,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.54 : 164,050.20 = 50,172 : x
  2. Step 2: Convert to fraction form
    109,410.54/164,050.20 = 50,172/x
  3. Step 3: Cross multiply
    109,410.54x = 164,050.20 × 50,172
  4. Step 4: Simplify right side
    109,410.54x = 8,230,726,634.40
  5. Step 5: Solve for x
    x = 8,230,726,634.40/109,410.54
  6. Step 6: Final answer
    x = 75,227.91

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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.