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Finding the Fourth Proportional to 149,457.16, 206,242.74 and 82,383.88

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Solution

The fourth proportional to 149,457.16, 206,242.74 and 82,383.88 is: 113,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,457.16 : 206,242.74 = 82,383.88 : x
  2. Step 2: Convert to fraction form
    149,457.16/206,242.74 = 82,383.88/x
  3. Step 3: Cross multiply
    149,457.16x = 206,242.74 × 82,383.88
  4. Step 4: Simplify right side
    149,457.16x = 16,991,077,143.03
  5. Step 5: Solve for x
    x = 16,991,077,143.03/149,457.16
  6. Step 6: Final answer
    x = 113,685.27

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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.