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Finding the Fourth Proportional to 276,321.60, 414,701.10 and 107,922.60

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Solution

The fourth proportional to 276,321.60, 414,701.10 and 107,922.60 is: 161,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,321.60 : 414,701.10 = 107,922.60 : x
  2. Step 2: Convert to fraction form
    276,321.60/414,701.10 = 107,922.60/x
  3. Step 3: Cross multiply
    276,321.60x = 414,701.10 × 107,922.60
  4. Step 4: Simplify right side
    276,321.60x = 44,755,620,934.86
  5. Step 5: Solve for x
    x = 44,755,620,934.86/276,321.60
  6. Step 6: Final answer
    x = 161,969.32

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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.