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Finding the Fourth Proportional to 231,902.40, 347,450.40 and 106,987.20

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Solution

The fourth proportional to 231,902.40, 347,450.40 and 106,987.20 is: 160,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,902.40 : 347,450.40 = 106,987.20 : x
  2. Step 2: Convert to fraction form
    231,902.40/347,450.40 = 106,987.20/x
  3. Step 3: Cross multiply
    231,902.40x = 347,450.40 × 106,987.20
  4. Step 4: Simplify right side
    231,902.40x = 37,172,745,434.88
  5. Step 5: Solve for x
    x = 37,172,745,434.88/231,902.40
  6. Step 6: Final answer
    x = 160,294.79

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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.