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Finding the Fourth Proportional to 138,233.40, 206,952.34 and 123,809.23

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Solution

The fourth proportional to 138,233.40, 206,952.34 and 123,809.23 is: 185,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,233.40 : 206,952.34 = 123,809.23 : x
  2. Step 2: Convert to fraction form
    138,233.40/206,952.34 = 123,809.23/x
  3. Step 3: Cross multiply
    138,233.40x = 206,952.34 × 123,809.23
  4. Step 4: Simplify right side
    138,233.40x = 25,622,608,982.10
  5. Step 5: Solve for x
    x = 25,622,608,982.10/138,233.40
  6. Step 6: Final answer
    x = 185,357.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.