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Finding the Fourth Proportional to 120,970, 166,938.60 and 67,978

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Solution

The fourth proportional to 120,970, 166,938.60 and 67,978 is: 93,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970 : 166,938.60 = 67,978 : x
  2. Step 2: Convert to fraction form
    120,970/166,938.60 = 67,978/x
  3. Step 3: Cross multiply
    120,970x = 166,938.60 × 67,978
  4. Step 4: Simplify right side
    120,970x = 11,348,152,150.80
  5. Step 5: Solve for x
    x = 11,348,152,150.80/120,970
  6. Step 6: Final answer
    x = 93,809.64

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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.