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Finding the Fourth Proportional to 271,950.40, 408,071.40 and 114,194.80

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Solution

The fourth proportional to 271,950.40, 408,071.40 and 114,194.80 is: 171,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,950.40 : 408,071.40 = 114,194.80 : x
  2. Step 2: Convert to fraction form
    271,950.40/408,071.40 = 114,194.80/x
  3. Step 3: Cross multiply
    271,950.40x = 408,071.40 × 114,194.80
  4. Step 4: Simplify right side
    271,950.40x = 46,599,631,908.72
  5. Step 5: Solve for x
    x = 46,599,631,908.72/271,950.40
  6. Step 6: Final answer
    x = 171,353.42

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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.