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Finding the Fourth Proportional to 137,398.34, 206,149.40 and 53,163.55

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Solution

The fourth proportional to 137,398.34, 206,149.40 and 53,163.55 is: 79,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,398.34 : 206,149.40 = 53,163.55 : x
  2. Step 2: Convert to fraction form
    137,398.34/206,149.40 = 53,163.55/x
  3. Step 3: Cross multiply
    137,398.34x = 206,149.40 × 53,163.55
  4. Step 4: Simplify right side
    137,398.34x = 10,959,633,934.37
  5. Step 5: Solve for x
    x = 10,959,633,934.37/137,398.34
  6. Step 6: Final answer
    x = 79,765.40

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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.