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Finding the Fourth Proportional to 189,672.26, 261,753.03 and 104,794.82

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Solution

The fourth proportional to 189,672.26, 261,753.03 and 104,794.82 is: 144,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,672.26 : 261,753.03 = 104,794.82 : x
  2. Step 2: Convert to fraction form
    189,672.26/261,753.03 = 104,794.82/x
  3. Step 3: Cross multiply
    189,672.26x = 261,753.03 × 104,794.82
  4. Step 4: Simplify right side
    189,672.26x = 27,430,361,663.30
  5. Step 5: Solve for x
    x = 27,430,361,663.30/189,672.26
  6. Step 6: Final answer
    x = 144,619.79

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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.