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Finding the Fourth Proportional to 209,102.21, 313,659.46 and 51,330.66

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Solution

The fourth proportional to 209,102.21, 313,659.46 and 51,330.66 is: 76,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,102.21 : 313,659.46 = 51,330.66 : x
  2. Step 2: Convert to fraction form
    209,102.21/313,659.46 = 51,330.66/x
  3. Step 3: Cross multiply
    209,102.21x = 313,659.46 × 51,330.66
  4. Step 4: Simplify right side
    209,102.21x = 16,100,345,984.98
  5. Step 5: Solve for x
    x = 16,100,345,984.98/209,102.21
  6. Step 6: Final answer
    x = 76,997.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.