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Finding the Fourth Proportional to 274,102.94, 411,213.04 and 81,992.41

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Solution

The fourth proportional to 274,102.94, 411,213.04 and 81,992.41 is: 123,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,102.94 : 411,213.04 = 81,992.41 : x
  2. Step 2: Convert to fraction form
    274,102.94/411,213.04 = 81,992.41/x
  3. Step 3: Cross multiply
    274,102.94x = 411,213.04 × 81,992.41
  4. Step 4: Simplify right side
    274,102.94x = 33,716,349,658.40
  5. Step 5: Solve for x
    x = 33,716,349,658.40/274,102.94
  6. Step 6: Final answer
    x = 123,006.16

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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.