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Finding the Fourth Proportional to 264,973, 365,668.50 and 145,741

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Solution

The fourth proportional to 264,973, 365,668.50 and 145,741 is: 201,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,973 : 365,668.50 = 145,741 : x
  2. Step 2: Convert to fraction form
    264,973/365,668.50 = 145,741/x
  3. Step 3: Cross multiply
    264,973x = 365,668.50 × 145,741
  4. Step 4: Simplify right side
    264,973x = 53,292,892,858.50
  5. Step 5: Solve for x
    x = 53,292,892,858.50/264,973
  6. Step 6: Final answer
    x = 201,125.75

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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.