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Finding the Fourth Proportional to 275,815.50, 412,952.44 and 149,001.42

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Solution

The fourth proportional to 275,815.50, 412,952.44 and 149,001.42 is: 223,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,815.50 : 412,952.44 = 149,001.42 : x
  2. Step 2: Convert to fraction form
    275,815.50/412,952.44 = 149,001.42/x
  3. Step 3: Cross multiply
    275,815.50x = 412,952.44 × 149,001.42
  4. Step 4: Simplify right side
    275,815.50x = 61,530,500,782.29
  5. Step 5: Solve for x
    x = 61,530,500,782.29/275,815.50
  6. Step 6: Final answer
    x = 223,085.73

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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.