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Finding the Fourth Proportional to 108,109, 162,122.19 and 51,933.07

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Solution

The fourth proportional to 108,109, 162,122.19 and 51,933.07 is: 77,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,109 : 162,122.19 = 51,933.07 : x
  2. Step 2: Convert to fraction form
    108,109/162,122.19 = 51,933.07/x
  3. Step 3: Cross multiply
    108,109x = 162,122.19 × 51,933.07
  4. Step 4: Simplify right side
    108,109x = 8,419,503,041.82
  5. Step 5: Solve for x
    x = 8,419,503,041.82/108,109
  6. Step 6: Final answer
    x = 77,879.76

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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.