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Finding the Fourth Proportional to 164,029.26, 226,361.07 and 92,410.14

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Solution

The fourth proportional to 164,029.26, 226,361.07 and 92,410.14 is: 127,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,029.26 : 226,361.07 = 92,410.14 : x
  2. Step 2: Convert to fraction form
    164,029.26/226,361.07 = 92,410.14/x
  3. Step 3: Cross multiply
    164,029.26x = 226,361.07 × 92,410.14
  4. Step 4: Simplify right side
    164,029.26x = 20,918,058,169.25
  5. Step 5: Solve for x
    x = 20,918,058,169.25/164,029.26
  6. Step 6: Final answer
    x = 127,526.38

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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.