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Finding the Fourth Proportional to 208,243.48, 312,365.21 and 50,471.93

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Solution

The fourth proportional to 208,243.48, 312,365.21 and 50,471.93 is: 75,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.48 : 312,365.21 = 50,471.93 : x
  2. Step 2: Convert to fraction form
    208,243.48/312,365.21 = 50,471.93/x
  3. Step 3: Cross multiply
    208,243.48x = 312,365.21 × 50,471.93
  4. Step 4: Simplify right side
    208,243.48x = 15,765,674,761.20
  5. Step 5: Solve for x
    x = 15,765,674,761.20/208,243.48
  6. Step 6: Final answer
    x = 75,707.89

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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.