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Finding the Fourth Proportional to 137,957.56, 206,936.34 and 49,207.48

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Solution

The fourth proportional to 137,957.56, 206,936.34 and 49,207.48 is: 73,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,957.56 : 206,936.34 = 49,207.48 : x
  2. Step 2: Convert to fraction form
    137,957.56/206,936.34 = 49,207.48/x
  3. Step 3: Cross multiply
    137,957.56x = 206,936.34 × 49,207.48
  4. Step 4: Simplify right side
    137,957.56x = 10,182,815,811.82
  5. Step 5: Solve for x
    x = 10,182,815,811.82/137,957.56
  6. Step 6: Final answer
    x = 73,811.22

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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.