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Finding the Fourth Proportional to 110,945.60, 166,442.70 and 54,812.60

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Solution

The fourth proportional to 110,945.60, 166,442.70 and 54,812.60 is: 82,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,945.60 : 166,442.70 = 54,812.60 : x
  2. Step 2: Convert to fraction form
    110,945.60/166,442.70 = 54,812.60/x
  3. Step 3: Cross multiply
    110,945.60x = 166,442.70 × 54,812.60
  4. Step 4: Simplify right side
    110,945.60x = 9,123,157,138.02
  5. Step 5: Solve for x
    x = 9,123,157,138.02/110,945.60
  6. Step 6: Final answer
    x = 82,230.91

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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.