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Finding the Fourth Proportional to 208,245.39, 312,365.34 and 50,475.21

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Solution

The fourth proportional to 208,245.39, 312,365.34 and 50,475.21 is: 75,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.39 : 312,365.34 = 50,475.21 : x
  2. Step 2: Convert to fraction form
    208,245.39/312,365.34 = 50,475.21/x
  3. Step 3: Cross multiply
    208,245.39x = 312,365.34 × 50,475.21
  4. Step 4: Simplify right side
    208,245.39x = 15,766,706,133.22
  5. Step 5: Solve for x
    x = 15,766,706,133.22/208,245.39
  6. Step 6: Final answer
    x = 75,712.15

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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.