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Finding the Fourth Proportional to 302,997, 418,135.75 and 167,033.26

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Solution

The fourth proportional to 302,997, 418,135.75 and 167,033.26 is: 230,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,997 : 418,135.75 = 167,033.26 : x
  2. Step 2: Convert to fraction form
    302,997/418,135.75 = 167,033.26/x
  3. Step 3: Cross multiply
    302,997x = 418,135.75 × 167,033.26
  4. Step 4: Simplify right side
    302,997x = 69,842,577,445.05
  5. Step 5: Solve for x
    x = 69,842,577,445.05/302,997
  6. Step 6: Final answer
    x = 230,505.84

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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.