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Finding the Fourth Proportional to 227,000.84, 340,383.02 and 84,729.12

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Solution

The fourth proportional to 227,000.84, 340,383.02 and 84,729.12 is: 127,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,000.84 : 340,383.02 = 84,729.12 : x
  2. Step 2: Convert to fraction form
    227,000.84/340,383.02 = 84,729.12/x
  3. Step 3: Cross multiply
    227,000.84x = 340,383.02 × 84,729.12
  4. Step 4: Simplify right side
    227,000.84x = 28,840,352,257.45
  5. Step 5: Solve for x
    x = 28,840,352,257.45/227,000.84
  6. Step 6: Final answer
    x = 127,049.54

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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.