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Finding the Fourth Proportional to 189,211.62, 283,496.28 and 114,174.11

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Solution

The fourth proportional to 189,211.62, 283,496.28 and 114,174.11 is: 171,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.62 : 283,496.28 = 114,174.11 : x
  2. Step 2: Convert to fraction form
    189,211.62/283,496.28 = 114,174.11/x
  3. Step 3: Cross multiply
    189,211.62x = 283,496.28 × 114,174.11
  4. Step 4: Simplify right side
    189,211.62x = 32,367,934,039.83
  5. Step 5: Solve for x
    x = 32,367,934,039.83/189,211.62
  6. Step 6: Final answer
    x = 171,067.37

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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.