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Finding the Fourth Proportional to 137,190.40, 189,284.16 and 80,581.12

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Solution

The fourth proportional to 137,190.40, 189,284.16 and 80,581.12 is: 111,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,190.40 : 189,284.16 = 80,581.12 : x
  2. Step 2: Convert to fraction form
    137,190.40/189,284.16 = 80,581.12/x
  3. Step 3: Cross multiply
    137,190.40x = 189,284.16 × 80,581.12
  4. Step 4: Simplify right side
    137,190.40x = 15,252,729,611.06
  5. Step 5: Solve for x
    x = 15,252,729,611.06/137,190.40
  6. Step 6: Final answer
    x = 111,179.28

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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.