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Finding the Fourth Proportional to 264,467.86, 364,964.31 and 143,608.09

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Solution

The fourth proportional to 264,467.86, 364,964.31 and 143,608.09 is: 198,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,467.86 : 364,964.31 = 143,608.09 : x
  2. Step 2: Convert to fraction form
    264,467.86/364,964.31 = 143,608.09/x
  3. Step 3: Cross multiply
    264,467.86x = 364,964.31 × 143,608.09
  4. Step 4: Simplify right side
    264,467.86x = 52,411,827,477.27
  5. Step 5: Solve for x
    x = 52,411,827,477.27/264,467.86
  6. Step 6: Final answer
    x = 198,178.44

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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.