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Finding the Fourth Proportional to 137,687.22, 206,528.31 and 37,847.01

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Solution

The fourth proportional to 137,687.22, 206,528.31 and 37,847.01 is: 56,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,687.22 : 206,528.31 = 37,847.01 : x
  2. Step 2: Convert to fraction form
    137,687.22/206,528.31 = 37,847.01/x
  3. Step 3: Cross multiply
    137,687.22x = 206,528.31 × 37,847.01
  4. Step 4: Simplify right side
    137,687.22x = 7,816,479,013.85
  5. Step 5: Solve for x
    x = 7,816,479,013.85/137,687.22
  6. Step 6: Final answer
    x = 56,769.82

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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.