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Finding the Fourth Proportional to 137,876.33, 206,989.49 and 117,231.05

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Solution

The fourth proportional to 137,876.33, 206,989.49 and 117,231.05 is: 175,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,876.33 : 206,989.49 = 117,231.05 : x
  2. Step 2: Convert to fraction form
    137,876.33/206,989.49 = 117,231.05/x
  3. Step 3: Cross multiply
    137,876.33x = 206,989.49 × 117,231.05
  4. Step 4: Simplify right side
    137,876.33x = 24,265,596,062.22
  5. Step 5: Solve for x
    x = 24,265,596,062.22/137,876.33
  6. Step 6: Final answer
    x = 175,995.37

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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.