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Finding the Fourth Proportional to 271,946.40, 408,065.40 and 114,190.80

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Solution

The fourth proportional to 271,946.40, 408,065.40 and 114,190.80 is: 171,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,946.40 : 408,065.40 = 114,190.80 : x
  2. Step 2: Convert to fraction form
    271,946.40/408,065.40 = 114,190.80/x
  3. Step 3: Cross multiply
    271,946.40x = 408,065.40 × 114,190.80
  4. Step 4: Simplify right side
    271,946.40x = 46,597,314,478.32
  5. Step 5: Solve for x
    x = 46,597,314,478.32/271,946.40
  6. Step 6: Final answer
    x = 171,347.42

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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.