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Finding the Fourth Proportional to 305,856.56, 458,789.46 and 106,183.29

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Solution

The fourth proportional to 305,856.56, 458,789.46 and 106,183.29 is: 159,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,856.56 : 458,789.46 = 106,183.29 : x
  2. Step 2: Convert to fraction form
    305,856.56/458,789.46 = 106,183.29/x
  3. Step 3: Cross multiply
    305,856.56x = 458,789.46 × 106,183.29
  4. Step 4: Simplify right side
    305,856.56x = 48,715,774,280.12
  5. Step 5: Solve for x
    x = 48,715,774,280.12/305,856.56
  6. Step 6: Final answer
    x = 159,276.54

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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.