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Finding the Fourth Proportional to 167,393.88, 252,080.73 and 120,971.16

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Solution

The fourth proportional to 167,393.88, 252,080.73 and 120,971.16 is: 182,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,393.88 : 252,080.73 = 120,971.16 : x
  2. Step 2: Convert to fraction form
    167,393.88/252,080.73 = 120,971.16/x
  3. Step 3: Cross multiply
    167,393.88x = 252,080.73 × 120,971.16
  4. Step 4: Simplify right side
    167,393.88x = 30,494,498,321.75
  5. Step 5: Solve for x
    x = 30,494,498,321.75/167,393.88
  6. Step 6: Final answer
    x = 182,172.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.