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Finding the Fourth Proportional to 128,203.40, 192,305.24 and 33,433.50

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Solution

The fourth proportional to 128,203.40, 192,305.24 and 33,433.50 is: 50,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,203.40 : 192,305.24 = 33,433.50 : x
  2. Step 2: Convert to fraction form
    128,203.40/192,305.24 = 33,433.50/x
  3. Step 3: Cross multiply
    128,203.40x = 192,305.24 × 33,433.50
  4. Step 4: Simplify right side
    128,203.40x = 6,429,437,241.54
  5. Step 5: Solve for x
    x = 6,429,437,241.54/128,203.40
  6. Step 6: Final answer
    x = 50,150.29

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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.