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Finding the Fourth Proportional to 201,229.10, 301,843.65 and 151,037.45

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Solution

The fourth proportional to 201,229.10, 301,843.65 and 151,037.45 is: 226,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.10 : 301,843.65 = 151,037.45 : x
  2. Step 2: Convert to fraction form
    201,229.10/301,843.65 = 151,037.45/x
  3. Step 3: Cross multiply
    201,229.10x = 301,843.65 × 151,037.45
  4. Step 4: Simplify right side
    201,229.10x = 45,589,695,194.69
  5. Step 5: Solve for x
    x = 45,589,695,194.69/201,229.10
  6. Step 6: Final answer
    x = 226,556.18

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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.