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Finding the Fourth Proportional to 137,540.28, 206,343 and 53,302.44

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Solution

The fourth proportional to 137,540.28, 206,343 and 53,302.44 is: 79,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540.28 : 206,343 = 53,302.44 : x
  2. Step 2: Convert to fraction form
    137,540.28/206,343 = 53,302.44/x
  3. Step 3: Cross multiply
    137,540.28x = 206,343 × 53,302.44
  4. Step 4: Simplify right side
    137,540.28x = 10,998,585,376.92
  5. Step 5: Solve for x
    x = 10,998,585,376.92/137,540.28
  6. Step 6: Final answer
    x = 79,966.29

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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.