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Finding the Fourth Proportional to 234,314.97, 351,476.82 and 84,566.49

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Solution

The fourth proportional to 234,314.97, 351,476.82 and 84,566.49 is: 126,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,314.97 : 351,476.82 = 84,566.49 : x
  2. Step 2: Convert to fraction form
    234,314.97/351,476.82 = 84,566.49/x
  3. Step 3: Cross multiply
    234,314.97x = 351,476.82 × 84,566.49
  4. Step 4: Simplify right side
    234,314.97x = 29,723,160,983.76
  5. Step 5: Solve for x
    x = 29,723,160,983.76/234,314.97
  6. Step 6: Final answer
    x = 126,851.31

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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.