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Finding the Fourth Proportional to 228,546.38, 315,289.34 and 147,999.86

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Solution

The fourth proportional to 228,546.38, 315,289.34 and 147,999.86 is: 204,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,546.38 : 315,289.34 = 147,999.86 : x
  2. Step 2: Convert to fraction form
    228,546.38/315,289.34 = 147,999.86/x
  3. Step 3: Cross multiply
    228,546.38x = 315,289.34 × 147,999.86
  4. Step 4: Simplify right side
    228,546.38x = 46,662,775,863.05
  5. Step 5: Solve for x
    x = 46,662,775,863.05/228,546.38
  6. Step 6: Final answer
    x = 204,172.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.