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Finding the Fourth Proportional to 137,595, 206,378.68 and 37,765.24

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Solution

The fourth proportional to 137,595, 206,378.68 and 37,765.24 is: 56,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,595 : 206,378.68 = 37,765.24 : x
  2. Step 2: Convert to fraction form
    137,595/206,378.68 = 37,765.24/x
  3. Step 3: Cross multiply
    137,595x = 206,378.68 × 37,765.24
  4. Step 4: Simplify right side
    137,595x = 7,793,940,381.08
  5. Step 5: Solve for x
    x = 7,793,940,381.08/137,595
  6. Step 6: Final answer
    x = 56,644.07

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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.