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Finding the Fourth Proportional to 133,092.45, 199,667.36 and 38,321.98

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Solution

The fourth proportional to 133,092.45, 199,667.36 and 38,321.98 is: 57,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092.45 : 199,667.36 = 38,321.98 : x
  2. Step 2: Convert to fraction form
    133,092.45/199,667.36 = 38,321.98/x
  3. Step 3: Cross multiply
    133,092.45x = 199,667.36 × 38,321.98
  4. Step 4: Simplify right side
    133,092.45x = 7,651,648,173.21
  5. Step 5: Solve for x
    x = 7,651,648,173.21/133,092.45
  6. Step 6: Final answer
    x = 57,491.23

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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.