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Finding the Fourth Proportional to 271,962.40, 408,089.40 and 114,206.80

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Solution

The fourth proportional to 271,962.40, 408,089.40 and 114,206.80 is: 171,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,962.40 : 408,089.40 = 114,206.80 : x
  2. Step 2: Convert to fraction form
    271,962.40/408,089.40 = 114,206.80/x
  3. Step 3: Cross multiply
    271,962.40x = 408,089.40 × 114,206.80
  4. Step 4: Simplify right side
    271,962.40x = 46,606,584,487.92
  5. Step 5: Solve for x
    x = 46,606,584,487.92/271,962.40
  6. Step 6: Final answer
    x = 171,371.43

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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.