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Finding the Fourth Proportional to 302,178.65, 416,997.83 and 166,212.59

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Solution

The fourth proportional to 302,178.65, 416,997.83 and 166,212.59 is: 229,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,178.65 : 416,997.83 = 166,212.59 : x
  2. Step 2: Convert to fraction form
    302,178.65/416,997.83 = 166,212.59/x
  3. Step 3: Cross multiply
    302,178.65x = 416,997.83 × 166,212.59
  4. Step 4: Simplify right side
    302,178.65x = 69,310,289,348.68
  5. Step 5: Solve for x
    x = 69,310,289,348.68/302,178.65
  6. Step 6: Final answer
    x = 229,368.58

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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.