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Finding the Fourth Proportional to 274,076.94, 411,186.16 and 84,533.04

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Solution

The fourth proportional to 274,076.94, 411,186.16 and 84,533.04 is: 126,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,076.94 : 411,186.16 = 84,533.04 : x
  2. Step 2: Convert to fraction form
    274,076.94/411,186.16 = 84,533.04/x
  3. Step 3: Cross multiply
    274,076.94x = 411,186.16 × 84,533.04
  4. Step 4: Simplify right side
    274,076.94x = 34,758,816,110.73
  5. Step 5: Solve for x
    x = 34,758,816,110.73/274,076.94
  6. Step 6: Final answer
    x = 126,821.38

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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.