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Finding the Fourth Proportional to 164,936.68, 227,462.34 and 139,496.38

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Solution

The fourth proportional to 164,936.68, 227,462.34 and 139,496.38 is: 192,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,936.68 : 227,462.34 = 139,496.38 : x
  2. Step 2: Convert to fraction form
    164,936.68/227,462.34 = 139,496.38/x
  3. Step 3: Cross multiply
    164,936.68x = 227,462.34 × 139,496.38
  4. Step 4: Simplify right side
    164,936.68x = 31,730,173,016.33
  5. Step 5: Solve for x
    x = 31,730,173,016.33/164,936.68
  6. Step 6: Final answer
    x = 192,377.91

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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.