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Finding the Fourth Proportional to 345,375, 518,091.66 and 96,057

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Solution

The fourth proportional to 345,375, 518,091.66 and 96,057 is: 144,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,375 : 518,091.66 = 96,057 : x
  2. Step 2: Convert to fraction form
    345,375/518,091.66 = 96,057/x
  3. Step 3: Cross multiply
    345,375x = 518,091.66 × 96,057
  4. Step 4: Simplify right side
    345,375x = 49,766,330,584.62
  5. Step 5: Solve for x
    x = 49,766,330,584.62/345,375
  6. Step 6: Final answer
    x = 144,093.61

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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.