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Finding the Fourth Proportional to 252,708.62, 378,936.14 and 84,169.67

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Solution

The fourth proportional to 252,708.62, 378,936.14 and 84,169.67 is: 126,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,708.62 : 378,936.14 = 84,169.67 : x
  2. Step 2: Convert to fraction form
    252,708.62/378,936.14 = 84,169.67/x
  3. Step 3: Cross multiply
    252,708.62x = 378,936.14 × 84,169.67
  4. Step 4: Simplify right side
    252,708.62x = 31,894,927,539.34
  5. Step 5: Solve for x
    x = 31,894,927,539.34/252,708.62
  6. Step 6: Final answer
    x = 126,212.27

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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.