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Finding the Fourth Proportional to 109,840.60, 164,760.90 and 65,517.40

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Solution

The fourth proportional to 109,840.60, 164,760.90 and 65,517.40 is: 98,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,840.60 : 164,760.90 = 65,517.40 : x
  2. Step 2: Convert to fraction form
    109,840.60/164,760.90 = 65,517.40/x
  3. Step 3: Cross multiply
    109,840.60x = 164,760.90 × 65,517.40
  4. Step 4: Simplify right side
    109,840.60x = 10,794,705,789.66
  5. Step 5: Solve for x
    x = 10,794,705,789.66/109,840.60
  6. Step 6: Final answer
    x = 98,276.10

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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.