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Finding the Fourth Proportional to 189,244, 283,544.64 and 114,206.48

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Solution

The fourth proportional to 189,244, 283,544.64 and 114,206.48 is: 171,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,244 : 283,544.64 = 114,206.48 : x
  2. Step 2: Convert to fraction form
    189,244/283,544.64 = 114,206.48/x
  3. Step 3: Cross multiply
    189,244x = 283,544.64 × 114,206.48
  4. Step 4: Simplify right side
    189,244x = 32,382,635,257.27
  5. Step 5: Solve for x
    x = 32,382,635,257.27/189,244
  6. Step 6: Final answer
    x = 171,115.78

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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.