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Finding the Fourth Proportional to 230,975.20, 345,694.80 and 167,615.20

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Solution

The fourth proportional to 230,975.20, 345,694.80 and 167,615.20 is: 250,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,975.20 : 345,694.80 = 167,615.20 : x
  2. Step 2: Convert to fraction form
    230,975.20/345,694.80 = 167,615.20/x
  3. Step 3: Cross multiply
    230,975.20x = 345,694.80 × 167,615.20
  4. Step 4: Simplify right side
    230,975.20x = 57,943,703,040.96
  5. Step 5: Solve for x
    x = 57,943,703,040.96/230,975.20
  6. Step 6: Final answer
    x = 250,865.47

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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.