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Finding the Fourth Proportional to 293,162.49, 404,583.80 and 164,112.41

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Solution

The fourth proportional to 293,162.49, 404,583.80 and 164,112.41 is: 226,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,162.49 : 404,583.80 = 164,112.41 : x
  2. Step 2: Convert to fraction form
    293,162.49/404,583.80 = 164,112.41/x
  3. Step 3: Cross multiply
    293,162.49x = 404,583.80 × 164,112.41
  4. Step 4: Simplify right side
    293,162.49x = 66,397,222,655.86
  5. Step 5: Solve for x
    x = 66,397,222,655.86/293,162.49
  6. Step 6: Final answer
    x = 226,486.08

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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.