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Finding the Fourth Proportional to 271,886.75, 407,916.80 and 114,072.83

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Solution

The fourth proportional to 271,886.75, 407,916.80 and 114,072.83 is: 171,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,886.75 : 407,916.80 = 114,072.83 : x
  2. Step 2: Convert to fraction form
    271,886.75/407,916.80 = 114,072.83/x
  3. Step 3: Cross multiply
    271,886.75x = 407,916.80 × 114,072.83
  4. Step 4: Simplify right side
    271,886.75x = 46,532,223,780.54
  5. Step 5: Solve for x
    x = 46,532,223,780.54/271,886.75
  6. Step 6: Final answer
    x = 171,145.61

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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.