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Finding the Fourth Proportional to 301,912.94, 452,467.54 and 159,727.87

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Solution

The fourth proportional to 301,912.94, 452,467.54 and 159,727.87 is: 239,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912.94 : 452,467.54 = 159,727.87 : x
  2. Step 2: Convert to fraction form
    301,912.94/452,467.54 = 159,727.87/x
  3. Step 3: Cross multiply
    301,912.94x = 452,467.54 × 159,727.87
  4. Step 4: Simplify right side
    301,912.94x = 72,271,673,729.98
  5. Step 5: Solve for x
    x = 72,271,673,729.98/301,912.94
  6. Step 6: Final answer
    x = 239,379.19

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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.