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Finding the Fourth Proportional to 256,183.40, 384,289.12 and 106,438.83

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Solution

The fourth proportional to 256,183.40, 384,289.12 and 106,438.83 is: 159,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,183.40 : 384,289.12 = 106,438.83 : x
  2. Step 2: Convert to fraction form
    256,183.40/384,289.12 = 106,438.83/x
  3. Step 3: Cross multiply
    256,183.40x = 384,289.12 × 106,438.83
  4. Step 4: Simplify right side
    256,183.40x = 40,903,283,782.34
  5. Step 5: Solve for x
    x = 40,903,283,782.34/256,183.40
  6. Step 6: Final answer
    x = 159,664.07

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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.