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Finding the Fourth Proportional to 81,976.40, 122,964.60 and 71,608.40

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Solution

The fourth proportional to 81,976.40, 122,964.60 and 71,608.40 is: 107,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976.40 : 122,964.60 = 71,608.40 : x
  2. Step 2: Convert to fraction form
    81,976.40/122,964.60 = 71,608.40/x
  3. Step 3: Cross multiply
    81,976.40x = 122,964.60 × 71,608.40
  4. Step 4: Simplify right side
    81,976.40x = 8,805,298,262.64
  5. Step 5: Solve for x
    x = 8,805,298,262.64/81,976.40
  6. Step 6: Final answer
    x = 107,412.60

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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.