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Finding the Fourth Proportional to 120,466.50, 166,246.17 and 70,168.74

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Solution

The fourth proportional to 120,466.50, 166,246.17 and 70,168.74 is: 96,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,466.50 : 166,246.17 = 70,168.74 : x
  2. Step 2: Convert to fraction form
    120,466.50/166,246.17 = 70,168.74/x
  3. Step 3: Cross multiply
    120,466.50x = 166,246.17 × 70,168.74
  4. Step 4: Simplify right side
    120,466.50x = 11,665,284,278.73
  5. Step 5: Solve for x
    x = 11,665,284,278.73/120,466.50
  6. Step 6: Final answer
    x = 96,834.26

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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.