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Finding the Fourth Proportional to 271,698.53, 407,416.71 and 113,884.61

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Solution

The fourth proportional to 271,698.53, 407,416.71 and 113,884.61 is: 170,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,698.53 : 407,416.71 = 113,884.61 : x
  2. Step 2: Convert to fraction form
    271,698.53/407,416.71 = 113,884.61/x
  3. Step 3: Cross multiply
    271,698.53x = 407,416.71 × 113,884.61
  4. Step 4: Simplify right side
    271,698.53x = 46,398,493,125.83
  5. Step 5: Solve for x
    x = 46,398,493,125.83/271,698.53
  6. Step 6: Final answer
    x = 170,771.97

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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.