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Finding the Fourth Proportional to 137,449.40, 206,174.12 and 37,605.56

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Solution

The fourth proportional to 137,449.40, 206,174.12 and 37,605.56 is: 56,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,449.40 : 206,174.12 = 37,605.56 : x
  2. Step 2: Convert to fraction form
    137,449.40/206,174.12 = 37,605.56/x
  3. Step 3: Cross multiply
    137,449.40x = 206,174.12 × 37,605.56
  4. Step 4: Simplify right side
    137,449.40x = 7,753,292,021.21
  5. Step 5: Solve for x
    x = 7,753,292,021.21/137,449.40
  6. Step 6: Final answer
    x = 56,408.34

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1.5x scale

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.