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Finding the Fourth Proportional to 197,262.66, 295,896.15 and 57,022.50

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Solution

The fourth proportional to 197,262.66, 295,896.15 and 57,022.50 is: 85,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,262.66 : 295,896.15 = 57,022.50 : x
  2. Step 2: Convert to fraction form
    197,262.66/295,896.15 = 57,022.50/x
  3. Step 3: Cross multiply
    197,262.66x = 295,896.15 × 57,022.50
  4. Step 4: Simplify right side
    197,262.66x = 16,872,738,213.38
  5. Step 5: Solve for x
    x = 16,872,738,213.38/197,262.66
  6. Step 6: Final answer
    x = 85,534.37

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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.