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Finding the Fourth Proportional to 110,801.89, 166,202.84 and 51,678.91

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Solution

The fourth proportional to 110,801.89, 166,202.84 and 51,678.91 is: 77,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,801.89 : 166,202.84 = 51,678.91 : x
  2. Step 2: Convert to fraction form
    110,801.89/166,202.84 = 51,678.91/x
  3. Step 3: Cross multiply
    110,801.89x = 166,202.84 × 51,678.91
  4. Step 4: Simplify right side
    110,801.89x = 8,589,181,610.10
  5. Step 5: Solve for x
    x = 8,589,181,610.10/110,801.89
  6. Step 6: Final answer
    x = 77,518.37

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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.