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Finding the Fourth Proportional to 227,757, 341,843.76 and 115,514.76

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Solution

The fourth proportional to 227,757, 341,843.76 and 115,514.76 is: 173,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,757 : 341,843.76 = 115,514.76 : x
  2. Step 2: Convert to fraction form
    227,757/341,843.76 = 115,514.76/x
  3. Step 3: Cross multiply
    227,757x = 341,843.76 × 115,514.76
  4. Step 4: Simplify right side
    227,757x = 39,487,999,893.90
  5. Step 5: Solve for x
    x = 39,487,999,893.90/227,757
  6. Step 6: Final answer
    x = 173,377.77

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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.