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Finding the Fourth Proportional to 301,903.29, 416,636.46 and 165,942.09

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Solution

The fourth proportional to 301,903.29, 416,636.46 and 165,942.09 is: 229,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,903.29 : 416,636.46 = 165,942.09 : x
  2. Step 2: Convert to fraction form
    301,903.29/416,636.46 = 165,942.09/x
  3. Step 3: Cross multiply
    301,903.29x = 416,636.46 × 165,942.09
  4. Step 4: Simplify right side
    301,903.29x = 69,137,524,942.60
  5. Step 5: Solve for x
    x = 69,137,524,942.60/301,903.29
  6. Step 6: Final answer
    x = 229,005.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.