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Finding the Fourth Proportional to 189,456, 261,449.31 and 104,573.09

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Solution

The fourth proportional to 189,456, 261,449.31 and 104,573.09 is: 144,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,456 : 261,449.31 = 104,573.09 : x
  2. Step 2: Convert to fraction form
    189,456/261,449.31 = 104,573.09/x
  3. Step 3: Cross multiply
    189,456x = 261,449.31 × 104,573.09
  4. Step 4: Simplify right side
    189,456x = 27,340,560,917.82
  5. Step 5: Solve for x
    x = 27,340,560,917.82/189,456
  6. Step 6: Final answer
    x = 144,310.87

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