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Finding the Fourth Proportional to 275,381.94, 412,198.10 and 148,842.12

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Solution

The fourth proportional to 275,381.94, 412,198.10 and 148,842.12 is: 222,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,381.94 : 412,198.10 = 148,842.12 : x
  2. Step 2: Convert to fraction form
    275,381.94/412,198.10 = 148,842.12/x
  3. Step 3: Cross multiply
    275,381.94x = 412,198.10 × 148,842.12
  4. Step 4: Simplify right side
    275,381.94x = 61,352,439,063.97
  5. Step 5: Solve for x
    x = 61,352,439,063.97/275,381.94
  6. Step 6: Final answer
    x = 222,790.35

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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.