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Finding the Fourth Proportional to 264,865.50, 365,514.46 and 145,633.50

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Solution

The fourth proportional to 264,865.50, 365,514.46 and 145,633.50 is: 200,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,865.50 : 365,514.46 = 145,633.50 : x
  2. Step 2: Convert to fraction form
    264,865.50/365,514.46 = 145,633.50/x
  3. Step 3: Cross multiply
    264,865.50x = 365,514.46 × 145,633.50
  4. Step 4: Simplify right side
    264,865.50x = 53,231,150,110.41
  5. Step 5: Solve for x
    x = 53,231,150,110.41/264,865.50
  6. Step 6: Final answer
    x = 200,974.27

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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.