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Finding the Fourth Proportional to 133,742.99, 184,584.21 and 82,772.12

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Solution

The fourth proportional to 133,742.99, 184,584.21 and 82,772.12 is: 114,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,742.99 : 184,584.21 = 82,772.12 : x
  2. Step 2: Convert to fraction form
    133,742.99/184,584.21 = 82,772.12/x
  3. Step 3: Cross multiply
    133,742.99x = 184,584.21 × 82,772.12
  4. Step 4: Simplify right side
    133,742.99x = 15,278,426,841.69
  5. Step 5: Solve for x
    x = 15,278,426,841.69/133,742.99
  6. Step 6: Final answer
    x = 114,237.21

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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.