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Finding the Fourth Proportional to 137,213.70, 205,835.67 and 43,697.94

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Solution

The fourth proportional to 137,213.70, 205,835.67 and 43,697.94 is: 65,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,213.70 : 205,835.67 = 43,697.94 : x
  2. Step 2: Convert to fraction form
    137,213.70/205,835.67 = 43,697.94/x
  3. Step 3: Cross multiply
    137,213.70x = 205,835.67 × 43,697.94
  4. Step 4: Simplify right side
    137,213.70x = 8,994,594,757.52
  5. Step 5: Solve for x
    x = 8,994,594,757.52/137,213.70
  6. Step 6: Final answer
    x = 65,551.73

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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.