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Finding the Fourth Proportional to 81,969.60, 122,954.40 and 81,451.20

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Solution

The fourth proportional to 81,969.60, 122,954.40 and 81,451.20 is: 122,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,969.60 : 122,954.40 = 81,451.20 : x
  2. Step 2: Convert to fraction form
    81,969.60/122,954.40 = 81,451.20/x
  3. Step 3: Cross multiply
    81,969.60x = 122,954.40 × 81,451.20
  4. Step 4: Simplify right side
    81,969.60x = 10,014,783,425.28
  5. Step 5: Solve for x
    x = 10,014,783,425.28/81,969.60
  6. Step 6: Final answer
    x = 122,176.80

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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.