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Finding the Fourth Proportional to 206,635, 310,004.52 and 58,891

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Solution

The fourth proportional to 206,635, 310,004.52 and 58,891 is: 88,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,635 : 310,004.52 = 58,891 : x
  2. Step 2: Convert to fraction form
    206,635/310,004.52 = 58,891/x
  3. Step 3: Cross multiply
    206,635x = 310,004.52 × 58,891
  4. Step 4: Simplify right side
    206,635x = 18,256,476,187.32
  5. Step 5: Solve for x
    x = 18,256,476,187.32/206,635
  6. Step 6: Final answer
    x = 88,351.33

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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.