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Finding the Fourth Proportional to 237,494.85, 327,736.50 and 135,518.47

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Solution

The fourth proportional to 237,494.85, 327,736.50 and 135,518.47 is: 187,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,494.85 : 327,736.50 = 135,518.47 : x
  2. Step 2: Convert to fraction form
    237,494.85/327,736.50 = 135,518.47/x
  3. Step 3: Cross multiply
    237,494.85x = 327,736.50 × 135,518.47
  4. Step 4: Simplify right side
    237,494.85x = 44,414,347,715.62
  5. Step 5: Solve for x
    x = 44,414,347,715.62/237,494.85
  6. Step 6: Final answer
    x = 187,011.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.