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Finding the Fourth Proportional to 275,575.17, 413,364.98 and 75,906.57

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Solution

The fourth proportional to 275,575.17, 413,364.98 and 75,906.57 is: 113,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,575.17 : 413,364.98 = 75,906.57 : x
  2. Step 2: Convert to fraction form
    275,575.17/413,364.98 = 75,906.57/x
  3. Step 3: Cross multiply
    275,575.17x = 413,364.98 × 75,906.57
  4. Step 4: Simplify right side
    275,575.17x = 31,377,117,410.39
  5. Step 5: Solve for x
    x = 31,377,117,410.39/275,575.17
  6. Step 6: Final answer
    x = 113,860.47

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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.