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Finding the Fourth Proportional to 360,782.96, 541,022.24 and 108,099.36

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Solution

The fourth proportional to 360,782.96, 541,022.24 and 108,099.36 is: 162,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,782.96 : 541,022.24 = 108,099.36 : x
  2. Step 2: Convert to fraction form
    360,782.96/541,022.24 = 108,099.36/x
  3. Step 3: Cross multiply
    360,782.96x = 541,022.24 × 108,099.36
  4. Step 4: Simplify right side
    360,782.96x = 58,484,157,889.77
  5. Step 5: Solve for x
    x = 58,484,157,889.77/360,782.96
  6. Step 6: Final answer
    x = 162,103.44

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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.