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Finding the Fourth Proportional to 293,566.28, 405,121.50 and 166,266.48

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Solution

The fourth proportional to 293,566.28, 405,121.50 and 166,266.48 is: 229,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,566.28 : 405,121.50 = 166,266.48 : x
  2. Step 2: Convert to fraction form
    293,566.28/405,121.50 = 166,266.48/x
  3. Step 3: Cross multiply
    293,566.28x = 405,121.50 × 166,266.48
  4. Step 4: Simplify right side
    293,566.28x = 67,358,125,777.32
  5. Step 5: Solve for x
    x = 67,358,125,777.32/293,566.28
  6. Step 6: Final answer
    x = 229,447.76

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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.