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Finding the Fourth Proportional to 231,473.96, 347,213.82 and 73,701.80

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Solution

The fourth proportional to 231,473.96, 347,213.82 and 73,701.80 is: 110,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,473.96 : 347,213.82 = 73,701.80 : x
  2. Step 2: Convert to fraction form
    231,473.96/347,213.82 = 73,701.80/x
  3. Step 3: Cross multiply
    231,473.96x = 347,213.82 × 73,701.80
  4. Step 4: Simplify right side
    231,473.96x = 25,590,283,518.88
  5. Step 5: Solve for x
    x = 25,590,283,518.88/231,473.96
  6. Step 6: Final answer
    x = 110,553.62

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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.