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Finding the Fourth Proportional to 274,679.50, 412,021.82 and 97,216.60

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Solution

The fourth proportional to 274,679.50, 412,021.82 and 97,216.60 is: 145,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,679.50 : 412,021.82 = 97,216.60 : x
  2. Step 2: Convert to fraction form
    274,679.50/412,021.82 = 97,216.60/x
  3. Step 3: Cross multiply
    274,679.50x = 412,021.82 × 97,216.60
  4. Step 4: Simplify right side
    274,679.50x = 40,055,360,466.21
  5. Step 5: Solve for x
    x = 40,055,360,466.21/274,679.50
  6. Step 6: Final answer
    x = 145,825.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.