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Finding the Fourth Proportional to 110,775.20, 166,217.01 and 68,644.01

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Solution

The fourth proportional to 110,775.20, 166,217.01 and 68,644.01 is: 102,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,775.20 : 166,217.01 = 68,644.01 : x
  2. Step 2: Convert to fraction form
    110,775.20/166,217.01 = 68,644.01/x
  3. Step 3: Cross multiply
    110,775.20x = 166,217.01 × 68,644.01
  4. Step 4: Simplify right side
    110,775.20x = 11,409,801,705.89
  5. Step 5: Solve for x
    x = 11,409,801,705.89/110,775.20
  6. Step 6: Final answer
    x = 102,999.61

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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.