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Finding the Fourth Proportional to 293,090.20, 404,471.71 and 164,027.65

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Solution

The fourth proportional to 293,090.20, 404,471.71 and 164,027.65 is: 226,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,090.20 : 404,471.71 = 164,027.65 : x
  2. Step 2: Convert to fraction form
    293,090.20/404,471.71 = 164,027.65/x
  3. Step 3: Cross multiply
    293,090.20x = 404,471.71 × 164,027.65
  4. Step 4: Simplify right side
    293,090.20x = 66,344,544,035.02
  5. Step 5: Solve for x
    x = 66,344,544,035.02/293,090.20
  6. Step 6: Final answer
    x = 226,362.21

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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.