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Finding the Fourth Proportional to 293,586.92, 405,136.38 and 166,263.42

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Solution

The fourth proportional to 293,586.92, 405,136.38 and 166,263.42 is: 229,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,586.92 : 405,136.38 = 166,263.42 : x
  2. Step 2: Convert to fraction form
    293,586.92/405,136.38 = 166,263.42/x
  3. Step 3: Cross multiply
    293,586.92x = 405,136.38 × 166,263.42
  4. Step 4: Simplify right side
    293,586.92x = 67,359,360,105.22
  5. Step 5: Solve for x
    x = 67,359,360,105.22/293,586.92
  6. Step 6: Final answer
    x = 229,435.84

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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.