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Finding the Fourth Proportional to 80,415.40, 120,623.10 and 74,194.60

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Solution

The fourth proportional to 80,415.40, 120,623.10 and 74,194.60 is: 111,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415.40 : 120,623.10 = 74,194.60 : x
  2. Step 2: Convert to fraction form
    80,415.40/120,623.10 = 74,194.60/x
  3. Step 3: Cross multiply
    80,415.40x = 120,623.10 × 74,194.60
  4. Step 4: Simplify right side
    80,415.40x = 8,949,582,655.26
  5. Step 5: Solve for x
    x = 8,949,582,655.26/80,415.40
  6. Step 6: Final answer
    x = 111,291.90

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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.