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Finding the Fourth Proportional to 81,946.60, 122,747.10 and 68,122.60

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Solution

The fourth proportional to 81,946.60, 122,747.10 and 68,122.60 is: 102,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,946.60 : 122,747.10 = 68,122.60 : x
  2. Step 2: Convert to fraction form
    81,946.60/122,747.10 = 68,122.60/x
  3. Step 3: Cross multiply
    81,946.60x = 122,747.10 × 68,122.60
  4. Step 4: Simplify right side
    81,946.60x = 8,361,851,594.46
  5. Step 5: Solve for x
    x = 8,361,851,594.46/81,946.60
  6. Step 6: Final answer
    x = 102,040.25

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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.