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Finding the Fourth Proportional to 275,163.60, 412,745.40 and 134,893.20

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Solution

The fourth proportional to 275,163.60, 412,745.40 and 134,893.20 is: 202,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,163.60 : 412,745.40 = 134,893.20 : x
  2. Step 2: Convert to fraction form
    275,163.60/412,745.40 = 134,893.20/x
  3. Step 3: Cross multiply
    275,163.60x = 412,745.40 × 134,893.20
  4. Step 4: Simplify right side
    275,163.60x = 55,676,547,791.28
  5. Step 5: Solve for x
    x = 55,676,547,791.28/275,163.60
  6. Step 6: Final answer
    x = 202,339.80

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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.