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Finding the Fourth Proportional to 111,163.86, 166,772.36 and 36,284.15

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Solution

The fourth proportional to 111,163.86, 166,772.36 and 36,284.15 is: 54,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,163.86 : 166,772.36 = 36,284.15 : x
  2. Step 2: Convert to fraction form
    111,163.86/166,772.36 = 36,284.15/x
  3. Step 3: Cross multiply
    111,163.86x = 166,772.36 × 36,284.15
  4. Step 4: Simplify right side
    111,163.86x = 6,051,193,833.74
  5. Step 5: Solve for x
    x = 6,051,193,833.74/111,163.86
  6. Step 6: Final answer
    x = 54,434.90

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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.