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Finding the Fourth Proportional to 271,501.50, 407,310.74 and 81,946

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Solution

The fourth proportional to 271,501.50, 407,310.74 and 81,946 is: 122,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,501.50 : 407,310.74 = 81,946 : x
  2. Step 2: Convert to fraction form
    271,501.50/407,310.74 = 81,946/x
  3. Step 3: Cross multiply
    271,501.50x = 407,310.74 × 81,946
  4. Step 4: Simplify right side
    271,501.50x = 33,377,485,900.04
  5. Step 5: Solve for x
    x = 33,377,485,900.04/271,501.50
  6. Step 6: Final answer
    x = 122,936.65

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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.