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Finding the Fourth Proportional to 120,973.88, 166,965.90 and 69,980.60

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Solution

The fourth proportional to 120,973.88, 166,965.90 and 69,980.60 is: 96,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,973.88 : 166,965.90 = 69,980.60 : x
  2. Step 2: Convert to fraction form
    120,973.88/166,965.90 = 69,980.60/x
  3. Step 3: Cross multiply
    120,973.88x = 166,965.90 × 69,980.60
  4. Step 4: Simplify right side
    120,973.88x = 11,684,373,861.54
  5. Step 5: Solve for x
    x = 11,684,373,861.54/120,973.88
  6. Step 6: Final answer
    x = 96,585.92

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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.