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Finding the Fourth Proportional to 120,996.08, 166,950 and 70,685.36

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Solution

The fourth proportional to 120,996.08, 166,950 and 70,685.36 is: 97,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,996.08 : 166,950 = 70,685.36 : x
  2. Step 2: Convert to fraction form
    120,996.08/166,950 = 70,685.36/x
  3. Step 3: Cross multiply
    120,996.08x = 166,950 × 70,685.36
  4. Step 4: Simplify right side
    120,996.08x = 11,800,920,852
  5. Step 5: Solve for x
    x = 11,800,920,852/120,996.08
  6. Step 6: Final answer
    x = 97,531.43

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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.