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Finding the Fourth Proportional to 143,186.46, 197,573.54 and 82,762.68

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Solution

The fourth proportional to 143,186.46, 197,573.54 and 82,762.68 is: 114,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,186.46 : 197,573.54 = 82,762.68 : x
  2. Step 2: Convert to fraction form
    143,186.46/197,573.54 = 82,762.68/x
  3. Step 3: Cross multiply
    143,186.46x = 197,573.54 × 82,762.68
  4. Step 4: Simplify right side
    143,186.46x = 16,351,715,667.49
  5. Step 5: Solve for x
    x = 16,351,715,667.49/143,186.46
  6. Step 6: Final answer
    x = 114,198.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.