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Finding the Fourth Proportional to 81,469.40, 122,204.10 and 74,252.30

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Solution

The fourth proportional to 81,469.40, 122,204.10 and 74,252.30 is: 111,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.40 : 122,204.10 = 74,252.30 : x
  2. Step 2: Convert to fraction form
    81,469.40/122,204.10 = 74,252.30/x
  3. Step 3: Cross multiply
    81,469.40x = 122,204.10 × 74,252.30
  4. Step 4: Simplify right side
    81,469.40x = 9,073,935,494.43
  5. Step 5: Solve for x
    x = 9,073,935,494.43/81,469.40
  6. Step 6: Final answer
    x = 111,378.45

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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.