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Finding the Fourth Proportional to 128,270.88, 192,410.64 and 34,778.88

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Solution

The fourth proportional to 128,270.88, 192,410.64 and 34,778.88 is: 52,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,270.88 : 192,410.64 = 34,778.88 : x
  2. Step 2: Convert to fraction form
    128,270.88/192,410.64 = 34,778.88/x
  3. Step 3: Cross multiply
    128,270.88x = 192,410.64 × 34,778.88
  4. Step 4: Simplify right side
    128,270.88x = 6,691,826,559.28
  5. Step 5: Solve for x
    x = 6,691,826,559.28/128,270.88
  6. Step 6: Final answer
    x = 52,169.49

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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.