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Finding the Fourth Proportional to 128,205.40, 192,308.24 and 33,435.50

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Solution

The fourth proportional to 128,205.40, 192,308.24 and 33,435.50 is: 50,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,205.40 : 192,308.24 = 33,435.50 : x
  2. Step 2: Convert to fraction form
    128,205.40/192,308.24 = 33,435.50/x
  3. Step 3: Cross multiply
    128,205.40x = 192,308.24 × 33,435.50
  4. Step 4: Simplify right side
    128,205.40x = 6,429,922,158.52
  5. Step 5: Solve for x
    x = 6,429,922,158.52/128,205.40
  6. Step 6: Final answer
    x = 50,153.29

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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.