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Finding the Fourth Proportional to 128,022.20, 192,033.30 and 83,785.40

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Solution

The fourth proportional to 128,022.20, 192,033.30 and 83,785.40 is: 125,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022.20 : 192,033.30 = 83,785.40 : x
  2. Step 2: Convert to fraction form
    128,022.20/192,033.30 = 83,785.40/x
  3. Step 3: Cross multiply
    128,022.20x = 192,033.30 × 83,785.40
  4. Step 4: Simplify right side
    128,022.20x = 16,089,586,853.82
  5. Step 5: Solve for x
    x = 16,089,586,853.82/128,022.20
  6. Step 6: Final answer
    x = 125,678.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.