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Finding the Fourth Proportional to 271,884.75, 407,913.80 and 114,070.83

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Solution

The fourth proportional to 271,884.75, 407,913.80 and 114,070.83 is: 171,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,884.75 : 407,913.80 = 114,070.83 : x
  2. Step 2: Convert to fraction form
    271,884.75/407,913.80 = 114,070.83/x
  3. Step 3: Cross multiply
    271,884.75x = 407,913.80 × 114,070.83
  4. Step 4: Simplify right side
    271,884.75x = 46,531,065,164.10
  5. Step 5: Solve for x
    x = 46,531,065,164.10/271,884.75
  6. Step 6: Final answer
    x = 171,142.61

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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.