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Finding the Fourth Proportional to 189,469.56, 261,431.64 and 114,022.92

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Solution

The fourth proportional to 189,469.56, 261,431.64 and 114,022.92 is: 157,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469.56 : 261,431.64 = 114,022.92 : x
  2. Step 2: Convert to fraction form
    189,469.56/261,431.64 = 114,022.92/x
  3. Step 3: Cross multiply
    189,469.56x = 261,431.64 × 114,022.92
  4. Step 4: Simplify right side
    189,469.56x = 29,809,198,973.19
  5. Step 5: Solve for x
    x = 29,809,198,973.19/189,469.56
  6. Step 6: Final answer
    x = 157,329.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.