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Finding the Fourth Proportional to 128,201.93, 192,303.02 and 33,432.04

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Solution

The fourth proportional to 128,201.93, 192,303.02 and 33,432.04 is: 50,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,201.93 : 192,303.02 = 33,432.04 : x
  2. Step 2: Convert to fraction form
    128,201.93/192,303.02 = 33,432.04/x
  3. Step 3: Cross multiply
    128,201.93x = 192,303.02 × 33,432.04
  4. Step 4: Simplify right side
    128,201.93x = 6,429,081,859.58
  5. Step 5: Solve for x
    x = 6,429,081,859.58/128,201.93
  6. Step 6: Final answer
    x = 50,148.09

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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.