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Finding the Fourth Proportional to 197,372.03, 296,074.44 and 78,978.78

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Solution

The fourth proportional to 197,372.03, 296,074.44 and 78,978.78 is: 118,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,372.03 : 296,074.44 = 78,978.78 : x
  2. Step 2: Convert to fraction form
    197,372.03/296,074.44 = 78,978.78/x
  3. Step 3: Cross multiply
    197,372.03x = 296,074.44 × 78,978.78
  4. Step 4: Simplify right side
    197,372.03x = 23,383,598,060.38
  5. Step 5: Solve for x
    x = 23,383,598,060.38/197,372.03
  6. Step 6: Final answer
    x = 118,474.73

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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.