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Finding the Fourth Proportional to 115,638.93, 159,608.34 and 75,282.37

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Solution

The fourth proportional to 115,638.93, 159,608.34 and 75,282.37 is: 103,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,638.93 : 159,608.34 = 75,282.37 : x
  2. Step 2: Convert to fraction form
    115,638.93/159,608.34 = 75,282.37/x
  3. Step 3: Cross multiply
    115,638.93x = 159,608.34 × 75,282.37
  4. Step 4: Simplify right side
    115,638.93x = 12,015,693,707.94
  5. Step 5: Solve for x
    x = 12,015,693,707.94/115,638.93
  6. Step 6: Final answer
    x = 103,906.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.