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Finding the Fourth Proportional to 120,993.84, 166,977.39 and 67,277.67

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Solution

The fourth proportional to 120,993.84, 166,977.39 and 67,277.67 is: 92,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.84 : 166,977.39 = 67,277.67 : x
  2. Step 2: Convert to fraction form
    120,993.84/166,977.39 = 67,277.67/x
  3. Step 3: Cross multiply
    120,993.84x = 166,977.39 × 67,277.67
  4. Step 4: Simplify right side
    120,993.84x = 11,233,849,741.88
  5. Step 5: Solve for x
    x = 11,233,849,741.88/120,993.84
  6. Step 6: Final answer
    x = 92,846.46

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Why These Related Problems?

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