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Finding the Fourth Proportional to 137,438.82, 206,164.44 and 37,596.78

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Solution

The fourth proportional to 137,438.82, 206,164.44 and 37,596.78 is: 56,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,438.82 : 206,164.44 = 37,596.78 : x
  2. Step 2: Convert to fraction form
    137,438.82/206,164.44 = 37,596.78/x
  3. Step 3: Cross multiply
    137,438.82x = 206,164.44 × 37,596.78
  4. Step 4: Simplify right side
    137,438.82x = 7,751,119,094.50
  5. Step 5: Solve for x
    x = 7,751,119,094.50/137,438.82
  6. Step 6: Final answer
    x = 56,396.87

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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.