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Finding the Fourth Proportional to 193,098.67, 289,608.41 and 73,114.22

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Solution

The fourth proportional to 193,098.67, 289,608.41 and 73,114.22 is: 109,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,098.67 : 289,608.41 = 73,114.22 : x
  2. Step 2: Convert to fraction form
    193,098.67/289,608.41 = 73,114.22/x
  3. Step 3: Cross multiply
    193,098.67x = 289,608.41 × 73,114.22
  4. Step 4: Simplify right side
    193,098.67x = 21,174,493,361.04
  5. Step 5: Solve for x
    x = 21,174,493,361.04/193,098.67
  6. Step 6: Final answer
    x = 109,656.34

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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.