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Finding the Fourth Proportional to 149,202.44, 205,898.10 and 82,133

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Solution

The fourth proportional to 149,202.44, 205,898.10 and 82,133 is: 113,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202.44 : 205,898.10 = 82,133 : x
  2. Step 2: Convert to fraction form
    149,202.44/205,898.10 = 82,133/x
  3. Step 3: Cross multiply
    149,202.44x = 205,898.10 × 82,133
  4. Step 4: Simplify right side
    149,202.44x = 16,911,028,647.30
  5. Step 5: Solve for x
    x = 16,911,028,647.30/149,202.44
  6. Step 6: Final answer
    x = 113,342.84

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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.