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Finding the Fourth Proportional to 274,196.26, 411,141.56 and 84,602.80

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Solution

The fourth proportional to 274,196.26, 411,141.56 and 84,602.80 is: 126,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,196.26 : 411,141.56 = 84,602.80 : x
  2. Step 2: Convert to fraction form
    274,196.26/411,141.56 = 84,602.80/x
  3. Step 3: Cross multiply
    274,196.26x = 411,141.56 × 84,602.80
  4. Step 4: Simplify right side
    274,196.26x = 34,783,727,172.37
  5. Step 5: Solve for x
    x = 34,783,727,172.37/274,196.26
  6. Step 6: Final answer
    x = 126,857.04

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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.