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Finding the Fourth Proportional to 180,584.90, 270,729.50 and 68,201.32

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Solution

The fourth proportional to 180,584.90, 270,729.50 and 68,201.32 is: 102,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,584.90 : 270,729.50 = 68,201.32 : x
  2. Step 2: Convert to fraction form
    180,584.90/270,729.50 = 68,201.32/x
  3. Step 3: Cross multiply
    180,584.90x = 270,729.50 × 68,201.32
  4. Step 4: Simplify right side
    180,584.90x = 18,464,109,262.94
  5. Step 5: Solve for x
    x = 18,464,109,262.94/180,584.90
  6. Step 6: Final answer
    x = 102,246.14

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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.