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Finding the Fourth Proportional to 231,704.32, 346,968.24 and 194,165.68

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Solution

The fourth proportional to 231,704.32, 346,968.24 and 194,165.68 is: 290,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704.32 : 346,968.24 = 194,165.68 : x
  2. Step 2: Convert to fraction form
    231,704.32/346,968.24 = 194,165.68/x
  3. Step 3: Cross multiply
    231,704.32x = 346,968.24 × 194,165.68
  4. Step 4: Simplify right side
    231,704.32x = 67,369,324,258.00
  5. Step 5: Solve for x
    x = 67,369,324,258.00/231,704.32
  6. Step 6: Final answer
    x = 290,755.58

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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.