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Finding the Fourth Proportional to 203,892.60, 305,234.10 and 151,534.20

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Solution

The fourth proportional to 203,892.60, 305,234.10 and 151,534.20 is: 226,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.60 : 305,234.10 = 151,534.20 : x
  2. Step 2: Convert to fraction form
    203,892.60/305,234.10 = 151,534.20/x
  3. Step 3: Cross multiply
    203,892.60x = 305,234.10 × 151,534.20
  4. Step 4: Simplify right side
    203,892.60x = 46,253,405,156.22
  5. Step 5: Solve for x
    x = 46,253,405,156.22/203,892.60
  6. Step 6: Final answer
    x = 226,851.81

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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.