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Finding the Fourth Proportional to 133,022.45, 183,407.64 and 82,633.97

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Solution

The fourth proportional to 133,022.45, 183,407.64 and 82,633.97 is: 113,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.45 : 183,407.64 = 82,633.97 : x
  2. Step 2: Convert to fraction form
    133,022.45/183,407.64 = 82,633.97/x
  3. Step 3: Cross multiply
    133,022.45x = 183,407.64 × 82,633.97
  4. Step 4: Simplify right side
    133,022.45x = 15,155,701,421.53
  5. Step 5: Solve for x
    x = 15,155,701,421.53/133,022.45
  6. Step 6: Final answer
    x = 113,933.41

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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.