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Finding the Fourth Proportional to 228,951.89, 343,371.84 and 178,907.86

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Solution

The fourth proportional to 228,951.89, 343,371.84 and 178,907.86 is: 268,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,951.89 : 343,371.84 = 178,907.86 : x
  2. Step 2: Convert to fraction form
    228,951.89/343,371.84 = 178,907.86/x
  3. Step 3: Cross multiply
    228,951.89x = 343,371.84 × 178,907.86
  4. Step 4: Simplify right side
    228,951.89x = 61,431,921,078.66
  5. Step 5: Solve for x
    x = 61,431,921,078.66/228,951.89
  6. Step 6: Final answer
    x = 268,318.03

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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.