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Finding the Fourth Proportional to 293,198.32, 404,651.80 and 164,185.92

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Solution

The fourth proportional to 293,198.32, 404,651.80 and 164,185.92 is: 226,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,198.32 : 404,651.80 = 164,185.92 : x
  2. Step 2: Convert to fraction form
    293,198.32/404,651.80 = 164,185.92/x
  3. Step 3: Cross multiply
    293,198.32x = 404,651.80 × 164,185.92
  4. Step 4: Simplify right side
    293,198.32x = 66,438,128,267.89
  5. Step 5: Solve for x
    x = 66,438,128,267.89/293,198.32
  6. Step 6: Final answer
    x = 226,597.92

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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.