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Finding the Fourth Proportional to 214,906.20, 322,245.90 and 72,702.60

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Solution

The fourth proportional to 214,906.20, 322,245.90 and 72,702.60 is: 109,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906.20 : 322,245.90 = 72,702.60 : x
  2. Step 2: Convert to fraction form
    214,906.20/322,245.90 = 72,702.60/x
  3. Step 3: Cross multiply
    214,906.20x = 322,245.90 × 72,702.60
  4. Step 4: Simplify right side
    214,906.20x = 23,428,114,769.34
  5. Step 5: Solve for x
    x = 23,428,114,769.34/214,906.20
  6. Step 6: Final answer
    x = 109,015.54

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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.