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Finding the Fourth Proportional to 230,169.20, 345,300.86 and 97,049.60

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Solution

The fourth proportional to 230,169.20, 345,300.86 and 97,049.60 is: 145,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,169.20 : 345,300.86 = 97,049.60 : x
  2. Step 2: Convert to fraction form
    230,169.20/345,300.86 = 97,049.60/x
  3. Step 3: Cross multiply
    230,169.20x = 345,300.86 × 97,049.60
  4. Step 4: Simplify right side
    230,169.20x = 33,511,310,342.66
  5. Step 5: Solve for x
    x = 33,511,310,342.66/230,169.20
  6. Step 6: Final answer
    x = 145,594.24

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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.