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Finding the Fourth Proportional to 234,425, 351,695.82 and 68,213

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Solution

The fourth proportional to 234,425, 351,695.82 and 68,213 is: 102,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,425 : 351,695.82 = 68,213 : x
  2. Step 2: Convert to fraction form
    234,425/351,695.82 = 68,213/x
  3. Step 3: Cross multiply
    234,425x = 351,695.82 × 68,213
  4. Step 4: Simplify right side
    234,425x = 23,990,226,969.66
  5. Step 5: Solve for x
    x = 23,990,226,969.66/234,425
  6. Step 6: Final answer
    x = 102,336.47

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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.