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Finding the Fourth Proportional to 231,864.30, 347,796.45 and 113,766.30

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Solution

The fourth proportional to 231,864.30, 347,796.45 and 113,766.30 is: 170,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,864.30 : 347,796.45 = 113,766.30 : x
  2. Step 2: Convert to fraction form
    231,864.30/347,796.45 = 113,766.30/x
  3. Step 3: Cross multiply
    231,864.30x = 347,796.45 × 113,766.30
  4. Step 4: Simplify right side
    231,864.30x = 39,567,515,269.64
  5. Step 5: Solve for x
    x = 39,567,515,269.64/231,864.30
  6. Step 6: Final answer
    x = 170,649.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.