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Finding the Fourth Proportional to 111,109.16, 166,580.22 and 36,184.70

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Solution

The fourth proportional to 111,109.16, 166,580.22 and 36,184.70 is: 54,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,109.16 : 166,580.22 = 36,184.70 : x
  2. Step 2: Convert to fraction form
    111,109.16/166,580.22 = 36,184.70/x
  3. Step 3: Cross multiply
    111,109.16x = 166,580.22 × 36,184.70
  4. Step 4: Simplify right side
    111,109.16x = 6,027,655,286.63
  5. Step 5: Solve for x
    x = 6,027,655,286.63/111,109.16
  6. Step 6: Final answer
    x = 54,249.85

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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.