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Finding the Fourth Proportional to 137,997.94, 206,872.20 and 49,230.34

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Solution

The fourth proportional to 137,997.94, 206,872.20 and 49,230.34 is: 73,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,997.94 : 206,872.20 = 49,230.34 : x
  2. Step 2: Convert to fraction form
    137,997.94/206,872.20 = 49,230.34/x
  3. Step 3: Cross multiply
    137,997.94x = 206,872.20 × 49,230.34
  4. Step 4: Simplify right side
    137,997.94x = 10,184,388,742.55
  5. Step 5: Solve for x
    x = 10,184,388,742.55/137,997.94
  6. Step 6: Final answer
    x = 73,801.02

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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.