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Finding the Fourth Proportional to 168,984, 233,198.13 and 105,321.75

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Solution

The fourth proportional to 168,984, 233,198.13 and 105,321.75 is: 145,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,984 : 233,198.13 = 105,321.75 : x
  2. Step 2: Convert to fraction form
    168,984/233,198.13 = 105,321.75/x
  3. Step 3: Cross multiply
    168,984x = 233,198.13 × 105,321.75
  4. Step 4: Simplify right side
    168,984x = 24,560,835,148.33
  5. Step 5: Solve for x
    x = 24,560,835,148.33/168,984
  6. Step 6: Final answer
    x = 145,344.15

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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.