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Finding the Fourth Proportional to 302,015.96, 416,771.38 and 166,048.86

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Solution

The fourth proportional to 302,015.96, 416,771.38 and 166,048.86 is: 229,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,015.96 : 416,771.38 = 166,048.86 : x
  2. Step 2: Convert to fraction form
    302,015.96/416,771.38 = 166,048.86/x
  3. Step 3: Cross multiply
    302,015.96x = 416,771.38 × 166,048.86
  4. Step 4: Simplify right side
    302,015.96x = 69,204,412,529.63
  5. Step 5: Solve for x
    x = 69,204,412,529.63/302,015.96
  6. Step 6: Final answer
    x = 229,141.57

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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.