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Finding the Fourth Proportional to 275,406.44, 412,777.49 and 142,214.09

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Solution

The fourth proportional to 275,406.44, 412,777.49 and 142,214.09 is: 213,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,406.44 : 412,777.49 = 142,214.09 : x
  2. Step 2: Convert to fraction form
    275,406.44/412,777.49 = 142,214.09/x
  3. Step 3: Cross multiply
    275,406.44x = 412,777.49 × 142,214.09
  4. Step 4: Simplify right side
    275,406.44x = 58,702,772,337.88
  5. Step 5: Solve for x
    x = 58,702,772,337.88/275,406.44
  6. Step 6: Final answer
    x = 213,149.60

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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.