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Finding the Fourth Proportional to 171,054.25, 256,623.22 and 120,551.81

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Solution

The fourth proportional to 171,054.25, 256,623.22 and 120,551.81 is: 180,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,054.25 : 256,623.22 = 120,551.81 : x
  2. Step 2: Convert to fraction form
    171,054.25/256,623.22 = 120,551.81/x
  3. Step 3: Cross multiply
    171,054.25x = 256,623.22 × 120,551.81
  4. Step 4: Simplify right side
    171,054.25x = 30,936,394,451.28
  5. Step 5: Solve for x
    x = 30,936,394,451.28/171,054.25
  6. Step 6: Final answer
    x = 180,857.21

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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.