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Finding the Fourth Proportional to 180,563.04, 270,696.80 and 68,179.50

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Solution

The fourth proportional to 180,563.04, 270,696.80 and 68,179.50 is: 102,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,563.04 : 270,696.80 = 68,179.50 : x
  2. Step 2: Convert to fraction form
    180,563.04/270,696.80 = 68,179.50/x
  3. Step 3: Cross multiply
    180,563.04x = 270,696.80 × 68,179.50
  4. Step 4: Simplify right side
    180,563.04x = 18,455,972,475.60
  5. Step 5: Solve for x
    x = 18,455,972,475.60/180,563.04
  6. Step 6: Final answer
    x = 102,213.46

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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.