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Finding the Fourth Proportional to 259,466.69, 389,216.43 and 109,687.26

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Solution

The fourth proportional to 259,466.69, 389,216.43 and 109,687.26 is: 164,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,466.69 : 389,216.43 = 109,687.26 : x
  2. Step 2: Convert to fraction form
    259,466.69/389,216.43 = 109,687.26/x
  3. Step 3: Cross multiply
    259,466.69x = 389,216.43 × 109,687.26
  4. Step 4: Simplify right side
    259,466.69x = 42,692,083,753.68
  5. Step 5: Solve for x
    x = 42,692,083,753.68/259,466.69
  6. Step 6: Final answer
    x = 164,537.82

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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.