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Finding the Fourth Proportional to 305,761.96, 458,626.74 and 95,375.80

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Solution

The fourth proportional to 305,761.96, 458,626.74 and 95,375.80 is: 143,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,761.96 : 458,626.74 = 95,375.80 : x
  2. Step 2: Convert to fraction form
    305,761.96/458,626.74 = 95,375.80/x
  3. Step 3: Cross multiply
    305,761.96x = 458,626.74 × 95,375.80
  4. Step 4: Simplify right side
    305,761.96x = 43,741,892,228.89
  5. Step 5: Solve for x
    x = 43,741,892,228.89/305,761.96
  6. Step 6: Final answer
    x = 143,058.65

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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.