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Finding the Fourth Proportional to 120,900.46, 166,832 and 67,182.06

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Solution

The fourth proportional to 120,900.46, 166,832 and 67,182.06 is: 92,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,900.46 : 166,832 = 67,182.06 : x
  2. Step 2: Convert to fraction form
    120,900.46/166,832 = 67,182.06/x
  3. Step 3: Cross multiply
    120,900.46x = 166,832 × 67,182.06
  4. Step 4: Simplify right side
    120,900.46x = 11,208,117,433.92
  5. Step 5: Solve for x
    x = 11,208,117,433.92/120,900.46
  6. Step 6: Final answer
    x = 92,705.33

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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.