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Finding the Fourth Proportional to 203,959.80, 305,939.70 and 129,164.40

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Solution

The fourth proportional to 203,959.80, 305,939.70 and 129,164.40 is: 193,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,959.80 : 305,939.70 = 129,164.40 : x
  2. Step 2: Convert to fraction form
    203,959.80/305,939.70 = 129,164.40/x
  3. Step 3: Cross multiply
    203,959.80x = 305,939.70 × 129,164.40
  4. Step 4: Simplify right side
    203,959.80x = 39,516,517,786.68
  5. Step 5: Solve for x
    x = 39,516,517,786.68/203,959.80
  6. Step 6: Final answer
    x = 193,746.60

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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.