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Finding the Fourth Proportional to 129,940.20, 194,983.20 and 55,047.60

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Solution

The fourth proportional to 129,940.20, 194,983.20 and 55,047.60 is: 82,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,940.20 : 194,983.20 = 55,047.60 : x
  2. Step 2: Convert to fraction form
    129,940.20/194,983.20 = 55,047.60/x
  3. Step 3: Cross multiply
    129,940.20x = 194,983.20 × 55,047.60
  4. Step 4: Simplify right side
    129,940.20x = 10,733,357,200.32
  5. Step 5: Solve for x
    x = 10,733,357,200.32/129,940.20
  6. Step 6: Final answer
    x = 82,602.28

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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.