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Finding the Fourth Proportional to 293,745.38, 405,365.17 and 164,683.22

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Solution

The fourth proportional to 293,745.38, 405,365.17 and 164,683.22 is: 227,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,745.38 : 405,365.17 = 164,683.22 : x
  2. Step 2: Convert to fraction form
    293,745.38/405,365.17 = 164,683.22/x
  3. Step 3: Cross multiply
    293,745.38x = 405,365.17 × 164,683.22
  4. Step 4: Simplify right side
    293,745.38x = 66,756,839,444.62
  5. Step 5: Solve for x
    x = 66,756,839,444.62/293,745.38
  6. Step 6: Final answer
    x = 227,260.90

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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.