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Finding the Fourth Proportional to 256,107.96, 384,234.84 and 87,650.64

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Solution

The fourth proportional to 256,107.96, 384,234.84 and 87,650.64 is: 131,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,107.96 : 384,234.84 = 87,650.64 : x
  2. Step 2: Convert to fraction form
    256,107.96/384,234.84 = 87,650.64/x
  3. Step 3: Cross multiply
    256,107.96x = 384,234.84 × 87,650.64
  4. Step 4: Simplify right side
    256,107.96x = 33,678,429,636.30
  5. Step 5: Solve for x
    x = 33,678,429,636.30/256,107.96
  6. Step 6: Final answer
    x = 131,500.91

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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.