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Finding the Fourth Proportional to 264,327.76, 364,771.40 and 143,469.04

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Solution

The fourth proportional to 264,327.76, 364,771.40 and 143,469.04 is: 197,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,327.76 : 364,771.40 = 143,469.04 : x
  2. Step 2: Convert to fraction form
    264,327.76/364,771.40 = 143,469.04/x
  3. Step 3: Cross multiply
    264,327.76x = 364,771.40 × 143,469.04
  4. Step 4: Simplify right side
    264,327.76x = 52,333,400,948.18
  5. Step 5: Solve for x
    x = 52,333,400,948.18/264,327.76
  6. Step 6: Final answer
    x = 197,986.78

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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.