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Finding the Fourth Proportional to 197,013.89, 295,640.36 and 78,675.32

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Solution

The fourth proportional to 197,013.89, 295,640.36 and 78,675.32 is: 118,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,013.89 : 295,640.36 = 78,675.32 : x
  2. Step 2: Convert to fraction form
    197,013.89/295,640.36 = 78,675.32/x
  3. Step 3: Cross multiply
    197,013.89x = 295,640.36 × 78,675.32
  4. Step 4: Simplify right side
    197,013.89x = 23,259,599,927.92
  5. Step 5: Solve for x
    x = 23,259,599,927.92/197,013.89
  6. Step 6: Final answer
    x = 118,060.71

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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.