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Finding the Fourth Proportional to 231,876.64, 347,244.72 and 113,165.20

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Solution

The fourth proportional to 231,876.64, 347,244.72 and 113,165.20 is: 169,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,876.64 : 347,244.72 = 113,165.20 : x
  2. Step 2: Convert to fraction form
    231,876.64/347,244.72 = 113,165.20/x
  3. Step 3: Cross multiply
    231,876.64x = 347,244.72 × 113,165.20
  4. Step 4: Simplify right side
    231,876.64x = 39,296,018,187.74
  5. Step 5: Solve for x
    x = 39,296,018,187.74/231,876.64
  6. Step 6: Final answer
    x = 169,469.50

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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.