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Finding the Fourth Proportional to 301,516.53, 452,340.41 and 91,149

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Solution

The fourth proportional to 301,516.53, 452,340.41 and 91,149 is: 136,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,516.53 : 452,340.41 = 91,149 : x
  2. Step 2: Convert to fraction form
    301,516.53/452,340.41 = 91,149/x
  3. Step 3: Cross multiply
    301,516.53x = 452,340.41 × 91,149
  4. Step 4: Simplify right side
    301,516.53x = 41,230,375,575.35
  5. Step 5: Solve for x
    x = 41,230,375,575.35/301,516.53
  6. Step 6: Final answer
    x = 136,743.33

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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.