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Finding the Fourth Proportional to 293,492.33, 405,020.91 and 166,192.73

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Solution

The fourth proportional to 293,492.33, 405,020.91 and 166,192.73 is: 229,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,492.33 : 405,020.91 = 166,192.73 : x
  2. Step 2: Convert to fraction form
    293,492.33/405,020.91 = 166,192.73/x
  3. Step 3: Cross multiply
    293,492.33x = 405,020.91 × 166,192.73
  4. Step 4: Simplify right side
    293,492.33x = 67,311,527,883.92
  5. Step 5: Solve for x
    x = 67,311,527,883.92/293,492.33
  6. Step 6: Final answer
    x = 229,346.81

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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.