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Finding the Fourth Proportional to 149,810.17, 206,739.11 and 82,742.17

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Solution

The fourth proportional to 149,810.17, 206,739.11 and 82,742.17 is: 114,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,810.17 : 206,739.11 = 82,742.17 : x
  2. Step 2: Convert to fraction form
    149,810.17/206,739.11 = 82,742.17/x
  3. Step 3: Cross multiply
    149,810.17x = 206,739.11 × 82,742.17
  4. Step 4: Simplify right side
    149,810.17x = 17,106,042,171.56
  5. Step 5: Solve for x
    x = 17,106,042,171.56/149,810.17
  6. Step 6: Final answer
    x = 114,184.79

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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.