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Finding the Fourth Proportional to 133,638, 184,420.80 and 74,022

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Solution

The fourth proportional to 133,638, 184,420.80 and 74,022 is: 102,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,638 : 184,420.80 = 74,022 : x
  2. Step 2: Convert to fraction form
    133,638/184,420.80 = 74,022/x
  3. Step 3: Cross multiply
    133,638x = 184,420.80 × 74,022
  4. Step 4: Simplify right side
    133,638x = 13,651,196,457.60
  5. Step 5: Solve for x
    x = 13,651,196,457.60/133,638
  6. Step 6: Final answer
    x = 102,150.56

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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.