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Finding the Fourth Proportional to 237,673.92, 327,919.68 and 135,696

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Solution

The fourth proportional to 237,673.92, 327,919.68 and 135,696 is: 187,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,673.92 : 327,919.68 = 135,696 : x
  2. Step 2: Convert to fraction form
    237,673.92/327,919.68 = 135,696/x
  3. Step 3: Cross multiply
    237,673.92x = 327,919.68 × 135,696
  4. Step 4: Simplify right side
    237,673.92x = 44,497,388,897.28
  5. Step 5: Solve for x
    x = 44,497,388,897.28/237,673.92
  6. Step 6: Final answer
    x = 187,220.33

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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.