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Finding the Fourth Proportional to 111,296.16, 166,941.81 and 27,056.77

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Solution

The fourth proportional to 111,296.16, 166,941.81 and 27,056.77 is: 40,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,296.16 : 166,941.81 = 27,056.77 : x
  2. Step 2: Convert to fraction form
    111,296.16/166,941.81 = 27,056.77/x
  3. Step 3: Cross multiply
    111,296.16x = 166,941.81 × 27,056.77
  4. Step 4: Simplify right side
    111,296.16x = 4,516,906,156.55
  5. Step 5: Solve for x
    x = 4,516,906,156.55/111,296.16
  6. Step 6: Final answer
    x = 40,584.56

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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.