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Finding the Fourth Proportional to 271,952.40, 408,074.40 and 114,196.80

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Solution

The fourth proportional to 271,952.40, 408,074.40 and 114,196.80 is: 171,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,952.40 : 408,074.40 = 114,196.80 : x
  2. Step 2: Convert to fraction form
    271,952.40/408,074.40 = 114,196.80/x
  3. Step 3: Cross multiply
    271,952.40x = 408,074.40 × 114,196.80
  4. Step 4: Simplify right side
    271,952.40x = 46,600,790,641.92
  5. Step 5: Solve for x
    x = 46,600,790,641.92/271,952.40
  6. Step 6: Final answer
    x = 171,356.42

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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.