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Finding the Fourth Proportional to 294,145.41, 405,912.78 and 166,818.27

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Solution

The fourth proportional to 294,145.41, 405,912.78 and 166,818.27 is: 230,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,145.41 : 405,912.78 = 166,818.27 : x
  2. Step 2: Convert to fraction form
    294,145.41/405,912.78 = 166,818.27/x
  3. Step 3: Cross multiply
    294,145.41x = 405,912.78 × 166,818.27
  4. Step 4: Simplify right side
    294,145.41x = 67,713,667,730.49
  5. Step 5: Solve for x
    x = 67,713,667,730.49/294,145.41
  6. Step 6: Final answer
    x = 230,204.74

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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.