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Finding the Fourth Proportional to 137,596.82, 206,414.36 and 48,829.22

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Solution

The fourth proportional to 137,596.82, 206,414.36 and 48,829.22 is: 73,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596.82 : 206,414.36 = 48,829.22 : x
  2. Step 2: Convert to fraction form
    137,596.82/206,414.36 = 48,829.22/x
  3. Step 3: Cross multiply
    137,596.82x = 206,414.36 × 48,829.22
  4. Step 4: Simplify right side
    137,596.82x = 10,079,050,919.38
  5. Step 5: Solve for x
    x = 10,079,050,919.38/137,596.82
  6. Step 6: Final answer
    x = 73,250.61

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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.