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Finding the Fourth Proportional to 148,570.80, 222,757.80 and 82,042.80

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Solution

The fourth proportional to 148,570.80, 222,757.80 and 82,042.80 is: 123,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,570.80 : 222,757.80 = 82,042.80 : x
  2. Step 2: Convert to fraction form
    148,570.80/222,757.80 = 82,042.80/x
  3. Step 3: Cross multiply
    148,570.80x = 222,757.80 × 82,042.80
  4. Step 4: Simplify right side
    148,570.80x = 18,275,673,633.84
  5. Step 5: Solve for x
    x = 18,275,673,633.84/148,570.80
  6. Step 6: Final answer
    x = 123,009.86

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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.