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Finding the Fourth Proportional to 203,771.30, 305,259.32 and 133,437.38

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Solution

The fourth proportional to 203,771.30, 305,259.32 and 133,437.38 is: 199,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,771.30 : 305,259.32 = 133,437.38 : x
  2. Step 2: Convert to fraction form
    203,771.30/305,259.32 = 133,437.38/x
  3. Step 3: Cross multiply
    203,771.30x = 305,259.32 × 133,437.38
  4. Step 4: Simplify right side
    203,771.30x = 40,733,002,688.68
  5. Step 5: Solve for x
    x = 40,733,002,688.68/203,771.30
  6. Step 6: Final answer
    x = 199,895.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.