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Finding the Fourth Proportional to 227,797.92, 341,724.22 and 94,768.18

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Solution

The fourth proportional to 227,797.92, 341,724.22 and 94,768.18 is: 142,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,797.92 : 341,724.22 = 94,768.18 : x
  2. Step 2: Convert to fraction form
    227,797.92/341,724.22 = 94,768.18/x
  3. Step 3: Cross multiply
    227,797.92x = 341,724.22 × 94,768.18
  4. Step 4: Simplify right side
    227,797.92x = 32,384,581,300.09
  5. Step 5: Solve for x
    x = 32,384,581,300.09/227,797.92
  6. Step 6: Final answer
    x = 142,163.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.