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Finding the Fourth Proportional to 109,361.33, 164,041.98 and 26,255.33

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Solution

The fourth proportional to 109,361.33, 164,041.98 and 26,255.33 is: 39,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,361.33 : 164,041.98 = 26,255.33 : x
  2. Step 2: Convert to fraction form
    109,361.33/164,041.98 = 26,255.33/x
  3. Step 3: Cross multiply
    109,361.33x = 164,041.98 × 26,255.33
  4. Step 4: Simplify right side
    109,361.33x = 4,306,976,015.24
  5. Step 5: Solve for x
    x = 4,306,976,015.24/109,361.33
  6. Step 6: Final answer
    x = 39,382.99

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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.