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Finding the Fourth Proportional to 180,245.25, 270,371.52 and 55,586.25

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Solution

The fourth proportional to 180,245.25, 270,371.52 and 55,586.25 is: 83,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,245.25 : 270,371.52 = 55,586.25 : x
  2. Step 2: Convert to fraction form
    180,245.25/270,371.52 = 55,586.25/x
  3. Step 3: Cross multiply
    180,245.25x = 270,371.52 × 55,586.25
  4. Step 4: Simplify right side
    180,245.25x = 15,028,938,903.60
  5. Step 5: Solve for x
    x = 15,028,938,903.60/180,245.25
  6. Step 6: Final answer
    x = 83,380.50

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Why These Related Problems?

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