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Finding the Fourth Proportional to 228,950.89, 343,370.34 and 178,906.86

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Solution

The fourth proportional to 228,950.89, 343,370.34 and 178,906.86 is: 268,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,950.89 : 343,370.34 = 178,906.86 : x
  2. Step 2: Convert to fraction form
    228,950.89/343,370.34 = 178,906.86/x
  3. Step 3: Cross multiply
    228,950.89x = 343,370.34 × 178,906.86
  4. Step 4: Simplify right side
    228,950.89x = 61,431,309,346.53
  5. Step 5: Solve for x
    x = 61,431,309,346.53/228,950.89
  6. Step 6: Final answer
    x = 268,316.54

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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.