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Finding the Fourth Proportional to 302,923.16, 418,016.86 and 166,956.68

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Solution

The fourth proportional to 302,923.16, 418,016.86 and 166,956.68 is: 230,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,923.16 : 418,016.86 = 166,956.68 : x
  2. Step 2: Convert to fraction form
    302,923.16/418,016.86 = 166,956.68/x
  3. Step 3: Cross multiply
    302,923.16x = 418,016.86 × 166,956.68
  4. Step 4: Simplify right side
    302,923.16x = 69,790,707,129.62
  5. Step 5: Solve for x
    x = 69,790,707,129.62/302,923.16
  6. Step 6: Final answer
    x = 230,390.79

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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.