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Finding the Fourth Proportional to 109,862.20, 164,793.30 and 90,835.30

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Solution

The fourth proportional to 109,862.20, 164,793.30 and 90,835.30 is: 136,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,862.20 : 164,793.30 = 90,835.30 : x
  2. Step 2: Convert to fraction form
    109,862.20/164,793.30 = 90,835.30/x
  3. Step 3: Cross multiply
    109,862.20x = 164,793.30 × 90,835.30
  4. Step 4: Simplify right side
    109,862.20x = 14,969,048,843.49
  5. Step 5: Solve for x
    x = 14,969,048,843.49/109,862.20
  6. Step 6: Final answer
    x = 136,252.95

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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.