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Finding the Fourth Proportional to 138,189.72, 206,206.83 and 123,296.28

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Solution

The fourth proportional to 138,189.72, 206,206.83 and 123,296.28 is: 183,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,189.72 : 206,206.83 = 123,296.28 : x
  2. Step 2: Convert to fraction form
    138,189.72/206,206.83 = 123,296.28/x
  3. Step 3: Cross multiply
    138,189.72x = 206,206.83 × 123,296.28
  4. Step 4: Simplify right side
    138,189.72x = 25,424,535,049.59
  5. Step 5: Solve for x
    x = 25,424,535,049.59/138,189.72
  6. Step 6: Final answer
    x = 183,982.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.