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Finding the Fourth Proportional to 104,168.16, 156,227.36 and 44,971.44

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Solution

The fourth proportional to 104,168.16, 156,227.36 and 44,971.44 is: 67,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,168.16 : 156,227.36 = 44,971.44 : x
  2. Step 2: Convert to fraction form
    104,168.16/156,227.36 = 44,971.44/x
  3. Step 3: Cross multiply
    104,168.16x = 156,227.36 × 44,971.44
  4. Step 4: Simplify right side
    104,168.16x = 7,025,769,346.60
  5. Step 5: Solve for x
    x = 7,025,769,346.60/104,168.16
  6. Step 6: Final answer
    x = 67,446.42

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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.