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Finding the Fourth Proportional to 362,782.80, 544,272.24 and 126,138.48

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Solution

The fourth proportional to 362,782.80, 544,272.24 and 126,138.48 is: 189,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,782.80 : 544,272.24 = 126,138.48 : x
  2. Step 2: Convert to fraction form
    362,782.80/544,272.24 = 126,138.48/x
  3. Step 3: Cross multiply
    362,782.80x = 544,272.24 × 126,138.48
  4. Step 4: Simplify right side
    362,782.80x = 68,653,673,059.80
  5. Step 5: Solve for x
    x = 68,653,673,059.80/362,782.80
  6. Step 6: Final answer
    x = 189,241.81

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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.