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Finding the Fourth Proportional to 302,705.22, 417,717.75 and 166,736.25

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Solution

The fourth proportional to 302,705.22, 417,717.75 and 166,736.25 is: 230,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,705.22 : 417,717.75 = 166,736.25 : x
  2. Step 2: Convert to fraction form
    302,705.22/417,717.75 = 166,736.25/x
  3. Step 3: Cross multiply
    302,705.22x = 417,717.75 × 166,736.25
  4. Step 4: Simplify right side
    302,705.22x = 69,648,691,193.44
  5. Step 5: Solve for x
    x = 69,648,691,193.44/302,705.22
  6. Step 6: Final answer
    x = 230,087.51

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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.