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Finding the Fourth Proportional to 231,224.64, 346,883.76 and 131,432.64

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Solution

The fourth proportional to 231,224.64, 346,883.76 and 131,432.64 is: 197,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,224.64 : 346,883.76 = 131,432.64 : x
  2. Step 2: Convert to fraction form
    231,224.64/346,883.76 = 131,432.64/x
  3. Step 3: Cross multiply
    231,224.64x = 346,883.76 × 131,432.64
  4. Step 4: Simplify right side
    231,224.64x = 45,591,848,349.93
  5. Step 5: Solve for x
    x = 45,591,848,349.93/231,224.64
  6. Step 6: Final answer
    x = 197,175.56

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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.