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Finding the Fourth Proportional to 171,698.22, 257,647.77 and 71,850.06

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Solution

The fourth proportional to 171,698.22, 257,647.77 and 71,850.06 is: 107,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.22 : 257,647.77 = 71,850.06 : x
  2. Step 2: Convert to fraction form
    171,698.22/257,647.77 = 71,850.06/x
  3. Step 3: Cross multiply
    171,698.22x = 257,647.77 × 71,850.06
  4. Step 4: Simplify right side
    171,698.22x = 18,512,007,733.37
  5. Step 5: Solve for x
    x = 18,512,007,733.37/171,698.22
  6. Step 6: Final answer
    x = 107,817.12

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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.