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Finding the Fourth Proportional to 137,708.34, 206,563.67 and 37,874.01

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Solution

The fourth proportional to 137,708.34, 206,563.67 and 37,874.01 is: 56,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,708.34 : 206,563.67 = 37,874.01 : x
  2. Step 2: Convert to fraction form
    137,708.34/206,563.67 = 37,874.01/x
  3. Step 3: Cross multiply
    137,708.34x = 206,563.67 × 37,874.01
  4. Step 4: Simplify right side
    137,708.34x = 7,823,394,313.85
  5. Step 5: Solve for x
    x = 7,823,394,313.85/137,708.34
  6. Step 6: Final answer
    x = 56,811.33

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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.