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Finding the Fourth Proportional to 271,886.25, 407,916.05 and 114,072.33

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Solution

The fourth proportional to 271,886.25, 407,916.05 and 114,072.33 is: 171,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,886.25 : 407,916.05 = 114,072.33 : x
  2. Step 2: Convert to fraction form
    271,886.25/407,916.05 = 114,072.33/x
  3. Step 3: Cross multiply
    271,886.25x = 407,916.05 × 114,072.33
  4. Step 4: Simplify right side
    271,886.25x = 46,531,934,267.90
  5. Step 5: Solve for x
    x = 46,531,934,267.90/271,886.25
  6. Step 6: Final answer
    x = 171,144.86

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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.