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Finding the Fourth Proportional to 123,814, 170,858.72 and 67,224.16

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Solution

The fourth proportional to 123,814, 170,858.72 and 67,224.16 is: 92,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814 : 170,858.72 = 67,224.16 : x
  2. Step 2: Convert to fraction form
    123,814/170,858.72 = 67,224.16/x
  3. Step 3: Cross multiply
    123,814x = 170,858.72 × 67,224.16
  4. Step 4: Simplify right side
    123,814x = 11,485,833,930.68
  5. Step 5: Solve for x
    x = 11,485,833,930.68/123,814
  6. Step 6: Final answer
    x = 92,766.84

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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.