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Finding the Fourth Proportional to 166,112.44, 229,199.94 and 105,661

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Solution

The fourth proportional to 166,112.44, 229,199.94 and 105,661 is: 145,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,112.44 : 229,199.94 = 105,661 : x
  2. Step 2: Convert to fraction form
    166,112.44/229,199.94 = 105,661/x
  3. Step 3: Cross multiply
    166,112.44x = 229,199.94 × 105,661
  4. Step 4: Simplify right side
    166,112.44x = 24,217,494,860.34
  5. Step 5: Solve for x
    x = 24,217,494,860.34/166,112.44
  6. Step 6: Final answer
    x = 145,789.77

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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.