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Finding the Fourth Proportional to 302,951.85, 418,076.33 and 166,991.01

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Solution

The fourth proportional to 302,951.85, 418,076.33 and 166,991.01 is: 230,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,951.85 : 418,076.33 = 166,991.01 : x
  2. Step 2: Convert to fraction form
    302,951.85/418,076.33 = 166,991.01/x
  3. Step 3: Cross multiply
    302,951.85x = 418,076.33 × 166,991.01
  4. Step 4: Simplify right side
    302,951.85x = 69,814,987,768.84
  5. Step 5: Solve for x
    x = 69,814,987,768.84/302,951.85
  6. Step 6: Final answer
    x = 230,449.12

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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.