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Finding the Fourth Proportional to 231,451.24, 347,182.62 and 65,233

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Solution

The fourth proportional to 231,451.24, 347,182.62 and 65,233 is: 97,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,451.24 : 347,182.62 = 65,233 : x
  2. Step 2: Convert to fraction form
    231,451.24/347,182.62 = 65,233/x
  3. Step 3: Cross multiply
    231,451.24x = 347,182.62 × 65,233
  4. Step 4: Simplify right side
    231,451.24x = 22,647,763,850.46
  5. Step 5: Solve for x
    x = 22,647,763,850.46/231,451.24
  6. Step 6: Final answer
    x = 97,851.12

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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.