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Finding the Fourth Proportional to 252,435.72, 378,571.36 and 83,910.84

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Solution

The fourth proportional to 252,435.72, 378,571.36 and 83,910.84 is: 125,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,435.72 : 378,571.36 = 83,910.84 : x
  2. Step 2: Convert to fraction form
    252,435.72/378,571.36 = 83,910.84/x
  3. Step 3: Cross multiply
    252,435.72x = 378,571.36 × 83,910.84
  4. Step 4: Simplify right side
    252,435.72x = 31,766,240,817.54
  5. Step 5: Solve for x
    x = 31,766,240,817.54/252,435.72
  6. Step 6: Final answer
    x = 125,838.93

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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.