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Finding the Fourth Proportional to 231,384.70, 347,008.96 and 104,951.80

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Solution

The fourth proportional to 231,384.70, 347,008.96 and 104,951.80 is: 157,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,384.70 : 347,008.96 = 104,951.80 : x
  2. Step 2: Convert to fraction form
    231,384.70/347,008.96 = 104,951.80/x
  3. Step 3: Cross multiply
    231,384.70x = 347,008.96 × 104,951.80
  4. Step 4: Simplify right side
    231,384.70x = 36,419,214,968.13
  5. Step 5: Solve for x
    x = 36,419,214,968.13/231,384.70
  6. Step 6: Final answer
    x = 157,396.82

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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.