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Finding the Fourth Proportional to 110,763, 166,213.62 and 45,099

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Solution

The fourth proportional to 110,763, 166,213.62 and 45,099 is: 67,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,763 : 166,213.62 = 45,099 : x
  2. Step 2: Convert to fraction form
    110,763/166,213.62 = 45,099/x
  3. Step 3: Cross multiply
    110,763x = 166,213.62 × 45,099
  4. Step 4: Simplify right side
    110,763x = 7,496,068,048.38
  5. Step 5: Solve for x
    x = 7,496,068,048.38/110,763
  6. Step 6: Final answer
    x = 67,676.64

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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.