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Finding the Fourth Proportional to 189,521.83, 261,540.06 and 108,965.11

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Solution

The fourth proportional to 189,521.83, 261,540.06 and 108,965.11 is: 150,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,521.83 : 261,540.06 = 108,965.11 : x
  2. Step 2: Convert to fraction form
    189,521.83/261,540.06 = 108,965.11/x
  3. Step 3: Cross multiply
    189,521.83x = 261,540.06 × 108,965.11
  4. Step 4: Simplify right side
    189,521.83x = 28,498,741,407.31
  5. Step 5: Solve for x
    x = 28,498,741,407.31/189,521.83
  6. Step 6: Final answer
    x = 150,371.81

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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.