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Finding the Fourth Proportional to 128,231.20, 192,346.95 and 33,461.31

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Solution

The fourth proportional to 128,231.20, 192,346.95 and 33,461.31 is: 50,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,231.20 : 192,346.95 = 33,461.31 : x
  2. Step 2: Convert to fraction form
    128,231.20/192,346.95 = 33,461.31/x
  3. Step 3: Cross multiply
    128,231.20x = 192,346.95 × 33,461.31
  4. Step 4: Simplify right side
    128,231.20x = 6,436,180,921.50
  5. Step 5: Solve for x
    x = 6,436,180,921.50/128,231.20
  6. Step 6: Final answer
    x = 50,192.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.