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Finding the Fourth Proportional to 111,151.77, 166,677.22 and 47,942.02

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Solution

The fourth proportional to 111,151.77, 166,677.22 and 47,942.02 is: 71,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,151.77 : 166,677.22 = 47,942.02 : x
  2. Step 2: Convert to fraction form
    111,151.77/166,677.22 = 47,942.02/x
  3. Step 3: Cross multiply
    111,151.77x = 166,677.22 × 47,942.02
  4. Step 4: Simplify right side
    111,151.77x = 7,990,842,614.78
  5. Step 5: Solve for x
    x = 7,990,842,614.78/111,151.77
  6. Step 6: Final answer
    x = 71,891.28

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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.