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Finding the Fourth Proportional to 137,857.20, 206,827.32 and 49,099.15

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Solution

The fourth proportional to 137,857.20, 206,827.32 and 49,099.15 is: 73,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,857.20 : 206,827.32 = 49,099.15 : x
  2. Step 2: Convert to fraction form
    137,857.20/206,827.32 = 49,099.15/x
  3. Step 3: Cross multiply
    137,857.20x = 206,827.32 × 49,099.15
  4. Step 4: Simplify right side
    137,857.20x = 10,155,045,608.78
  5. Step 5: Solve for x
    x = 10,155,045,608.78/137,857.20
  6. Step 6: Final answer
    x = 73,663.51

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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.