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Finding the Fourth Proportional to 81,391.40, 122,274.71 and 78,028.46

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Solution

The fourth proportional to 81,391.40, 122,274.71 and 78,028.46 is: 117,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,391.40 : 122,274.71 = 78,028.46 : x
  2. Step 2: Convert to fraction form
    81,391.40/122,274.71 = 78,028.46/x
  3. Step 3: Cross multiply
    81,391.40x = 122,274.71 × 78,028.46
  4. Step 4: Simplify right side
    81,391.40x = 9,540,907,318.25
  5. Step 5: Solve for x
    x = 9,540,907,318.25/81,391.40
  6. Step 6: Final answer
    x = 117,222.55

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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.