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Finding the Fourth Proportional to 271,884.96, 407,827.44 and 84,912.48

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Solution

The fourth proportional to 271,884.96, 407,827.44 and 84,912.48 is: 127,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,884.96 : 407,827.44 = 84,912.48 : x
  2. Step 2: Convert to fraction form
    271,884.96/407,827.44 = 84,912.48/x
  3. Step 3: Cross multiply
    271,884.96x = 407,827.44 × 84,912.48
  4. Step 4: Simplify right side
    271,884.96x = 34,629,639,342.45
  5. Step 5: Solve for x
    x = 34,629,639,342.45/271,884.96
  6. Step 6: Final answer
    x = 127,368.72

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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.