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Finding the Fourth Proportional to 111,029.86, 166,543.24 and 26,789.32

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Solution

The fourth proportional to 111,029.86, 166,543.24 and 26,789.32 is: 40,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,029.86 : 166,543.24 = 26,789.32 : x
  2. Step 2: Convert to fraction form
    111,029.86/166,543.24 = 26,789.32/x
  3. Step 3: Cross multiply
    111,029.86x = 166,543.24 × 26,789.32
  4. Step 4: Simplify right side
    111,029.86x = 4,461,580,150.20
  5. Step 5: Solve for x
    x = 4,461,580,150.20/111,029.86
  6. Step 6: Final answer
    x = 40,183.61

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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.