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Finding the Fourth Proportional to 106,505, 159,667.26 and 71,337

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Solution

The fourth proportional to 106,505, 159,667.26 and 71,337 is: 106,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,505 : 159,667.26 = 71,337 : x
  2. Step 2: Convert to fraction form
    106,505/159,667.26 = 71,337/x
  3. Step 3: Cross multiply
    106,505x = 159,667.26 × 71,337
  4. Step 4: Simplify right side
    106,505x = 11,390,183,326.62
  5. Step 5: Solve for x
    x = 11,390,183,326.62/106,505
  6. Step 6: Final answer
    x = 106,945.06

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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.