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Finding the Fourth Proportional to 137,504.48, 206,227.02 and 48,760.88

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Solution

The fourth proportional to 137,504.48, 206,227.02 and 48,760.88 is: 73,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,504.48 : 206,227.02 = 48,760.88 : x
  2. Step 2: Convert to fraction form
    137,504.48/206,227.02 = 48,760.88/x
  3. Step 3: Cross multiply
    137,504.48x = 206,227.02 × 48,760.88
  4. Step 4: Simplify right side
    137,504.48x = 10,055,810,974.98
  5. Step 5: Solve for x
    x = 10,055,810,974.98/137,504.48
  6. Step 6: Final answer
    x = 73,130.79

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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.