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Finding the Fourth Proportional to 293,434.12, 404,942.34 and 166,106.92

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Solution

The fourth proportional to 293,434.12, 404,942.34 and 166,106.92 is: 229,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,434.12 : 404,942.34 = 166,106.92 : x
  2. Step 2: Convert to fraction form
    293,434.12/404,942.34 = 166,106.92/x
  3. Step 3: Cross multiply
    293,434.12x = 404,942.34 × 166,106.92
  4. Step 4: Simplify right side
    293,434.12x = 67,263,724,874.99
  5. Step 5: Solve for x
    x = 67,263,724,874.99/293,434.12
  6. Step 6: Final answer
    x = 229,229.39

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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.