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Finding the Fourth Proportional to 205,338, 283,366.44 and 115,914

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Solution

The fourth proportional to 205,338, 283,366.44 and 115,914 is: 159,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,338 : 283,366.44 = 115,914 : x
  2. Step 2: Convert to fraction form
    205,338/283,366.44 = 115,914/x
  3. Step 3: Cross multiply
    205,338x = 283,366.44 × 115,914
  4. Step 4: Simplify right side
    205,338x = 32,846,137,526.16
  5. Step 5: Solve for x
    x = 32,846,137,526.16/205,338
  6. Step 6: Final answer
    x = 159,961.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.