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Finding the Fourth Proportional to 111,264.71, 166,857.77 and 48,082.28

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Solution

The fourth proportional to 111,264.71, 166,857.77 and 48,082.28 is: 72,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264.71 : 166,857.77 = 48,082.28 : x
  2. Step 2: Convert to fraction form
    111,264.71/166,857.77 = 48,082.28/x
  3. Step 3: Cross multiply
    111,264.71x = 166,857.77 × 48,082.28
  4. Step 4: Simplify right side
    111,264.71x = 8,022,900,942.62
  5. Step 5: Solve for x
    x = 8,022,900,942.62/111,264.71
  6. Step 6: Final answer
    x = 72,106.43

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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.