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Finding the Fourth Proportional to 189,081.76, 260,932.26 and 104,198.80

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Solution

The fourth proportional to 189,081.76, 260,932.26 and 104,198.80 is: 143,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,081.76 : 260,932.26 = 104,198.80 : x
  2. Step 2: Convert to fraction form
    189,081.76/260,932.26 = 104,198.80/x
  3. Step 3: Cross multiply
    189,081.76x = 260,932.26 × 104,198.80
  4. Step 4: Simplify right side
    189,081.76x = 27,188,828,373.29
  5. Step 5: Solve for x
    x = 27,188,828,373.29/189,081.76
  6. Step 6: Final answer
    x = 143,794.03

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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.