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Finding the Fourth Proportional to 208,202.36, 312,302.73 and 50,430.56

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Solution

The fourth proportional to 208,202.36, 312,302.73 and 50,430.56 is: 75,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.36 : 312,302.73 = 50,430.56 : x
  2. Step 2: Convert to fraction form
    208,202.36/312,302.73 = 50,430.56/x
  3. Step 3: Cross multiply
    208,202.36x = 312,302.73 × 50,430.56
  4. Step 4: Simplify right side
    208,202.36x = 15,749,601,563.43
  5. Step 5: Solve for x
    x = 15,749,601,563.43/208,202.36
  6. Step 6: Final answer
    x = 75,645.64

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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.