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Finding the Fourth Proportional to 293,181.93, 404,556.93 and 164,127.47

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Solution

The fourth proportional to 293,181.93, 404,556.93 and 164,127.47 is: 226,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,181.93 : 404,556.93 = 164,127.47 : x
  2. Step 2: Convert to fraction form
    293,181.93/404,556.93 = 164,127.47/x
  3. Step 3: Cross multiply
    293,181.93x = 404,556.93 × 164,127.47
  4. Step 4: Simplify right side
    293,181.93x = 66,398,903,369.08
  5. Step 5: Solve for x
    x = 66,398,903,369.08/293,181.93
  6. Step 6: Final answer
    x = 226,476.79

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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.