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Finding the Fourth Proportional to 137,558.97, 206,369.43 and 48,812.34

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Solution

The fourth proportional to 137,558.97, 206,369.43 and 48,812.34 is: 73,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,558.97 : 206,369.43 = 48,812.34 : x
  2. Step 2: Convert to fraction form
    137,558.97/206,369.43 = 48,812.34/x
  3. Step 3: Cross multiply
    137,558.97x = 206,369.43 × 48,812.34
  4. Step 4: Simplify right side
    137,558.97x = 10,073,374,782.77
  5. Step 5: Solve for x
    x = 10,073,374,782.77/137,558.97
  6. Step 6: Final answer
    x = 73,229.50

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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.