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Finding the Fourth Proportional to 137,916, 190,324.08 and 84,192.48

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Solution

The fourth proportional to 137,916, 190,324.08 and 84,192.48 is: 116,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,916 : 190,324.08 = 84,192.48 : x
  2. Step 2: Convert to fraction form
    137,916/190,324.08 = 84,192.48/x
  3. Step 3: Cross multiply
    137,916x = 190,324.08 × 84,192.48
  4. Step 4: Simplify right side
    137,916x = 16,023,856,298.92
  5. Step 5: Solve for x
    x = 16,023,856,298.92/137,916
  6. Step 6: Final answer
    x = 116,185.62

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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.