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Finding the Fourth Proportional to 128,201.68, 192,302.65 and 33,431.79

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Solution

The fourth proportional to 128,201.68, 192,302.65 and 33,431.79 is: 50,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,201.68 : 192,302.65 = 33,431.79 : x
  2. Step 2: Convert to fraction form
    128,201.68/192,302.65 = 33,431.79/x
  3. Step 3: Cross multiply
    128,201.68x = 192,302.65 × 33,431.79
  4. Step 4: Simplify right side
    128,201.68x = 6,429,021,811.24
  5. Step 5: Solve for x
    x = 6,429,021,811.24/128,201.68
  6. Step 6: Final answer
    x = 50,147.72

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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.