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Finding the Fourth Proportional to 231,396.84, 347,416.50 and 119,157.30

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Solution

The fourth proportional to 231,396.84, 347,416.50 and 119,157.30 is: 178,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,396.84 : 347,416.50 = 119,157.30 : x
  2. Step 2: Convert to fraction form
    231,396.84/347,416.50 = 119,157.30/x
  3. Step 3: Cross multiply
    231,396.84x = 347,416.50 × 119,157.30
  4. Step 4: Simplify right side
    231,396.84x = 41,397,212,115.45
  5. Step 5: Solve for x
    x = 41,397,212,115.45/231,396.84
  6. Step 6: Final answer
    x = 178,901.37

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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.