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Finding the Fourth Proportional to 234,136.49, 323,109.15 and 126,706.49

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Solution

The fourth proportional to 234,136.49, 323,109.15 and 126,706.49 is: 174,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,136.49 : 323,109.15 = 126,706.49 : x
  2. Step 2: Convert to fraction form
    234,136.49/323,109.15 = 126,706.49/x
  3. Step 3: Cross multiply
    234,136.49x = 323,109.15 × 126,706.49
  4. Step 4: Simplify right side
    234,136.49x = 40,940,026,283.38
  5. Step 5: Solve for x
    x = 40,940,026,283.38/234,136.49
  6. Step 6: Final answer
    x = 174,855.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.