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Finding the Fourth Proportional to 149,314.34, 206,053.74 and 82,246.34

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Solution

The fourth proportional to 149,314.34, 206,053.74 and 82,246.34 is: 113,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314.34 : 206,053.74 = 82,246.34 : x
  2. Step 2: Convert to fraction form
    149,314.34/206,053.74 = 82,246.34/x
  3. Step 3: Cross multiply
    149,314.34x = 206,053.74 × 82,246.34
  4. Step 4: Simplify right side
    149,314.34x = 16,947,164,928.04
  5. Step 5: Solve for x
    x = 16,947,164,928.04/149,314.34
  6. Step 6: Final answer
    x = 113,499.92

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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.