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Finding the Fourth Proportional to 225,855.21, 338,190.98 and 158,933.01

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Solution

The fourth proportional to 225,855.21, 338,190.98 and 158,933.01 is: 237,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,855.21 : 338,190.98 = 158,933.01 : x
  2. Step 2: Convert to fraction form
    225,855.21/338,190.98 = 158,933.01/x
  3. Step 3: Cross multiply
    225,855.21x = 338,190.98 × 158,933.01
  4. Step 4: Simplify right side
    225,855.21x = 53,749,709,611.58
  5. Step 5: Solve for x
    x = 53,749,709,611.58/225,855.21
  6. Step 6: Final answer
    x = 237,983.04

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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.