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Finding the Fourth Proportional to 293,299.38, 404,749.89 and 164,239.02

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Solution

The fourth proportional to 293,299.38, 404,749.89 and 164,239.02 is: 226,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,299.38 : 404,749.89 = 164,239.02 : x
  2. Step 2: Convert to fraction form
    293,299.38/404,749.89 = 164,239.02/x
  3. Step 3: Cross multiply
    293,299.38x = 404,749.89 × 164,239.02
  4. Step 4: Simplify right side
    293,299.38x = 66,475,725,278.71
  5. Step 5: Solve for x
    x = 66,475,725,278.71/293,299.38
  6. Step 6: Final answer
    x = 226,648.03

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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.