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Finding the Fourth Proportional to 264,600, 365,171.04 and 145,391.04

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Solution

The fourth proportional to 264,600, 365,171.04 and 145,391.04 is: 200,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,600 : 365,171.04 = 145,391.04 : x
  2. Step 2: Convert to fraction form
    264,600/365,171.04 = 145,391.04/x
  3. Step 3: Cross multiply
    264,600x = 365,171.04 × 145,391.04
  4. Step 4: Simplify right side
    264,600x = 53,092,597,283.48
  5. Step 5: Solve for x
    x = 53,092,597,283.48/264,600
  6. Step 6: Final answer
    x = 200,652.30

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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.