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Finding the Fourth Proportional to 137,608.56, 206,415.27 and 48,800.16

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Solution

The fourth proportional to 137,608.56, 206,415.27 and 48,800.16 is: 73,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.56 : 206,415.27 = 48,800.16 : x
  2. Step 2: Convert to fraction form
    137,608.56/206,415.27 = 48,800.16/x
  3. Step 3: Cross multiply
    137,608.56x = 206,415.27 × 48,800.16
  4. Step 4: Simplify right side
    137,608.56x = 10,073,098,202.44
  5. Step 5: Solve for x
    x = 10,073,098,202.44/137,608.56
  6. Step 6: Final answer
    x = 73,201.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.