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Finding the Fourth Proportional to 275,574.67, 413,364.24 and 75,906.07

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Solution

The fourth proportional to 275,574.67, 413,364.24 and 75,906.07 is: 113,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,574.67 : 413,364.24 = 75,906.07 : x
  2. Step 2: Convert to fraction form
    275,574.67/413,364.24 = 75,906.07/x
  3. Step 3: Cross multiply
    275,574.67x = 413,364.24 × 75,906.07
  4. Step 4: Simplify right side
    275,574.67x = 31,376,854,936.94
  5. Step 5: Solve for x
    x = 31,376,854,936.94/275,574.67
  6. Step 6: Final answer
    x = 113,859.72

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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.