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Finding the Fourth Proportional to 123,123.28, 169,843.56 and 82,357.84

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Solution

The fourth proportional to 123,123.28, 169,843.56 and 82,357.84 is: 113,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,123.28 : 169,843.56 = 82,357.84 : x
  2. Step 2: Convert to fraction form
    123,123.28/169,843.56 = 82,357.84/x
  3. Step 3: Cross multiply
    123,123.28x = 169,843.56 × 82,357.84
  4. Step 4: Simplify right side
    123,123.28x = 13,987,948,739.51
  5. Step 5: Solve for x
    x = 13,987,948,739.51/123,123.28
  6. Step 6: Final answer
    x = 113,609.29

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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.