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Finding the Fourth Proportional to 109,874.20, 164,811.30 and 81,989.95

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Solution

The fourth proportional to 109,874.20, 164,811.30 and 81,989.95 is: 122,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874.20 : 164,811.30 = 81,989.95 : x
  2. Step 2: Convert to fraction form
    109,874.20/164,811.30 = 81,989.95/x
  3. Step 3: Cross multiply
    109,874.20x = 164,811.30 × 81,989.95
  4. Step 4: Simplify right side
    109,874.20x = 13,512,870,246.44
  5. Step 5: Solve for x
    x = 13,512,870,246.44/109,874.20
  6. Step 6: Final answer
    x = 122,984.93

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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.