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Finding the Fourth Proportional to 271,716.40, 407,720.40 and 113,960.80

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Solution

The fourth proportional to 271,716.40, 407,720.40 and 113,960.80 is: 171,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,716.40 : 407,720.40 = 113,960.80 : x
  2. Step 2: Convert to fraction form
    271,716.40/407,720.40 = 113,960.80/x
  3. Step 3: Cross multiply
    271,716.40x = 407,720.40 × 113,960.80
  4. Step 4: Simplify right side
    271,716.40x = 46,464,142,960.32
  5. Step 5: Solve for x
    x = 46,464,142,960.32/271,716.40
  6. Step 6: Final answer
    x = 171,002.35

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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.