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Finding the Fourth Proportional to 135,861.86, 203,824.81 and 133,602.56

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Solution

The fourth proportional to 135,861.86, 203,824.81 and 133,602.56 is: 200,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,861.86 : 203,824.81 = 133,602.56 : x
  2. Step 2: Convert to fraction form
    135,861.86/203,824.81 = 133,602.56/x
  3. Step 3: Cross multiply
    135,861.86x = 203,824.81 × 133,602.56
  4. Step 4: Simplify right side
    135,861.86x = 27,231,516,714.74
  5. Step 5: Solve for x
    x = 27,231,516,714.74/135,861.86
  6. Step 6: Final answer
    x = 200,435.33

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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.