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Finding the Fourth Proportional to 271,914.69, 407,930.40 and 114,052.17

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Solution

The fourth proportional to 271,914.69, 407,930.40 and 114,052.17 is: 171,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.69 : 407,930.40 = 114,052.17 : x
  2. Step 2: Convert to fraction form
    271,914.69/407,930.40 = 114,052.17/x
  3. Step 3: Cross multiply
    271,914.69x = 407,930.40 × 114,052.17
  4. Step 4: Simplify right side
    271,914.69x = 46,525,347,328.97
  5. Step 5: Solve for x
    x = 46,525,347,328.97/271,914.69
  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.