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Finding the Fourth Proportional to 197,005.42, 295,478.74 and 54,835.84

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Solution

The fourth proportional to 197,005.42, 295,478.74 and 54,835.84 is: 82,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,005.42 : 295,478.74 = 54,835.84 : x
  2. Step 2: Convert to fraction form
    197,005.42/295,478.74 = 54,835.84/x
  3. Step 3: Cross multiply
    197,005.42x = 295,478.74 × 54,835.84
  4. Step 4: Simplify right side
    197,005.42x = 16,202,823,377.42
  5. Step 5: Solve for x
    x = 16,202,823,377.42/197,005.42
  6. Step 6: Final answer
    x = 82,245.57

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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.