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Finding the Fourth Proportional to 264,796.25, 365,423.07 and 143,937.77

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Solution

The fourth proportional to 264,796.25, 365,423.07 and 143,937.77 is: 198,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,796.25 : 365,423.07 = 143,937.77 : x
  2. Step 2: Convert to fraction form
    264,796.25/365,423.07 = 143,937.77/x
  3. Step 3: Cross multiply
    264,796.25x = 365,423.07 × 143,937.77
  4. Step 4: Simplify right side
    264,796.25x = 52,598,179,975.24
  5. Step 5: Solve for x
    x = 52,598,179,975.24/264,796.25
  6. Step 6: Final answer
    x = 198,636.43

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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.