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Finding the Fourth Proportional to 203,893.10, 305,234.85 and 151,534.70

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Solution

The fourth proportional to 203,893.10, 305,234.85 and 151,534.70 is: 226,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,893.10 : 305,234.85 = 151,534.70 : x
  2. Step 2: Convert to fraction form
    203,893.10/305,234.85 = 151,534.70/x
  3. Step 3: Cross multiply
    203,893.10x = 305,234.85 × 151,534.70
  4. Step 4: Simplify right side
    203,893.10x = 46,253,671,424.30
  5. Step 5: Solve for x
    x = 46,253,671,424.30/203,893.10
  6. Step 6: Final answer
    x = 226,852.56

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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.