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Finding the Fourth Proportional to 137,583.84, 189,867.78 and 80,221.60

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Solution

The fourth proportional to 137,583.84, 189,867.78 and 80,221.60 is: 110,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.84 : 189,867.78 = 80,221.60 : x
  2. Step 2: Convert to fraction form
    137,583.84/189,867.78 = 80,221.60/x
  3. Step 3: Cross multiply
    137,583.84x = 189,867.78 × 80,221.60
  4. Step 4: Simplify right side
    137,583.84x = 15,231,497,100.05
  5. Step 5: Solve for x
    x = 15,231,497,100.05/137,583.84
  6. Step 6: Final answer
    x = 110,707.02

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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.