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Finding the Fourth Proportional to 293,087.82, 404,468.43 and 164,025.28

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Solution

The fourth proportional to 293,087.82, 404,468.43 and 164,025.28 is: 226,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,087.82 : 404,468.43 = 164,025.28 : x
  2. Step 2: Convert to fraction form
    293,087.82/404,468.43 = 164,025.28/x
  3. Step 3: Cross multiply
    293,087.82x = 404,468.43 × 164,025.28
  4. Step 4: Simplify right side
    293,087.82x = 66,343,047,481.91
  5. Step 5: Solve for x
    x = 66,343,047,481.91/293,087.82
  6. Step 6: Final answer
    x = 226,358.94

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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.