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Finding the Fourth Proportional to 271,914.70, 407,930.40 and 114,052.18

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Solution

The fourth proportional to 271,914.70, 407,930.40 and 114,052.18 is: 171,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.70 : 407,930.40 = 114,052.18 : x
  2. Step 2: Convert to fraction form
    271,914.70/407,930.40 = 114,052.18/x
  3. Step 3: Cross multiply
    271,914.70x = 407,930.40 × 114,052.18
  4. Step 4: Simplify right side
    271,914.70x = 46,525,351,408.27
  5. Step 5: Solve for x
    x = 46,525,351,408.27/271,914.70
  6. Step 6: Final answer
    x = 171,102.74

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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.