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Finding the Fourth Proportional to 293,668.80, 405,288.12 and 166,367.04

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Solution

The fourth proportional to 293,668.80, 405,288.12 and 166,367.04 is: 229,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,668.80 : 405,288.12 = 166,367.04 : x
  2. Step 2: Convert to fraction form
    293,668.80/405,288.12 = 166,367.04/x
  3. Step 3: Cross multiply
    293,668.80x = 405,288.12 × 166,367.04
  4. Step 4: Simplify right side
    293,668.80x = 67,426,584,871.56
  5. Step 5: Solve for x
    x = 67,426,584,871.56/293,668.80
  6. Step 6: Final answer
    x = 229,600.78

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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.