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Finding the Fourth Proportional to 293,102.96, 404,497.80 and 164,033.51

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Solution

The fourth proportional to 293,102.96, 404,497.80 and 164,033.51 is: 226,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,102.96 : 404,497.80 = 164,033.51 : x
  2. Step 2: Convert to fraction form
    293,102.96/404,497.80 = 164,033.51/x
  3. Step 3: Cross multiply
    293,102.96x = 404,497.80 × 164,033.51
  4. Step 4: Simplify right side
    293,102.96x = 66,351,191,898.79
  5. Step 5: Solve for x
    x = 66,351,191,898.79/293,102.96
  6. Step 6: Final answer
    x = 226,375.04

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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.