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Finding the Fourth Proportional to 180,647.16, 270,822.70 and 68,263.44

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Solution

The fourth proportional to 180,647.16, 270,822.70 and 68,263.44 is: 102,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,647.16 : 270,822.70 = 68,263.44 : x
  2. Step 2: Convert to fraction form
    180,647.16/270,822.70 = 68,263.44/x
  3. Step 3: Cross multiply
    180,647.16x = 270,822.70 × 68,263.44
  4. Step 4: Simplify right side
    180,647.16x = 18,487,289,132.09
  5. Step 5: Solve for x
    x = 18,487,289,132.09/180,647.16
  6. Step 6: Final answer
    x = 102,339.22

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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.