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Finding the Fourth Proportional to 230,323.56, 345,531.78 and 97,203.96

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Solution

The fourth proportional to 230,323.56, 345,531.78 and 97,203.96 is: 145,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,323.56 : 345,531.78 = 97,203.96 : x
  2. Step 2: Convert to fraction form
    230,323.56/345,531.78 = 97,203.96/x
  3. Step 3: Cross multiply
    230,323.56x = 345,531.78 × 97,203.96
  4. Step 4: Simplify right side
    230,323.56x = 33,587,057,321.85
  5. Step 5: Solve for x
    x = 33,587,057,321.85/230,323.56
  6. Step 6: Final answer
    x = 145,825.54

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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.