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Finding the Fourth Proportional to 256,268.35, 384,439.21 and 78,790.26

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Solution

The fourth proportional to 256,268.35, 384,439.21 and 78,790.26 is: 118,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,268.35 : 384,439.21 = 78,790.26 : x
  2. Step 2: Convert to fraction form
    256,268.35/384,439.21 = 78,790.26/x
  3. Step 3: Cross multiply
    256,268.35x = 384,439.21 × 78,790.26
  4. Step 4: Simplify right side
    256,268.35x = 30,290,065,310.09
  5. Step 5: Solve for x
    x = 30,290,065,310.09/256,268.35
  6. Step 6: Final answer
    x = 118,196.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.