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Finding the Fourth Proportional to 274,691.80, 412,086.30 and 97,301.80

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Solution

The fourth proportional to 274,691.80, 412,086.30 and 97,301.80 is: 145,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,691.80 : 412,086.30 = 97,301.80 : x
  2. Step 2: Convert to fraction form
    274,691.80/412,086.30 = 97,301.80/x
  3. Step 3: Cross multiply
    274,691.80x = 412,086.30 × 97,301.80
  4. Step 4: Simplify right side
    274,691.80x = 40,096,738,745.34
  5. Step 5: Solve for x
    x = 40,096,738,745.34/274,691.80
  6. Step 6: Final answer
    x = 145,969.92

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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.