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Finding the Fourth Proportional to 305,524.92, 458,178.02 and 105,791.70

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Solution

The fourth proportional to 305,524.92, 458,178.02 and 105,791.70 is: 158,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,524.92 : 458,178.02 = 105,791.70 : x
  2. Step 2: Convert to fraction form
    305,524.92/458,178.02 = 105,791.70/x
  3. Step 3: Cross multiply
    305,524.92x = 458,178.02 × 105,791.70
  4. Step 4: Simplify right side
    305,524.92x = 48,471,431,638.43
  5. Step 5: Solve for x
    x = 48,471,431,638.43/305,524.92
  6. Step 6: Final answer
    x = 158,649.68

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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.