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Finding the Fourth Proportional to 123,970.42, 171,078.24 and 67,382.20

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Solution

The fourth proportional to 123,970.42, 171,078.24 and 67,382.20 is: 92,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,970.42 : 171,078.24 = 67,382.20 : x
  2. Step 2: Convert to fraction form
    123,970.42/171,078.24 = 67,382.20/x
  3. Step 3: Cross multiply
    123,970.42x = 171,078.24 × 67,382.20
  4. Step 4: Simplify right side
    123,970.42x = 11,527,628,183.33
  5. Step 5: Solve for x
    x = 11,527,628,183.33/123,970.42
  6. Step 6: Final answer
    x = 92,986.93

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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.