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Finding the Fourth Proportional to 129,743.20, 194,760.60 and 100,291.60

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Solution

The fourth proportional to 129,743.20, 194,760.60 and 100,291.60 is: 150,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,743.20 : 194,760.60 = 100,291.60 : x
  2. Step 2: Convert to fraction form
    129,743.20/194,760.60 = 100,291.60/x
  3. Step 3: Cross multiply
    129,743.20x = 194,760.60 × 100,291.60
  4. Step 4: Simplify right side
    129,743.20x = 19,532,852,190.96
  5. Step 5: Solve for x
    x = 19,532,852,190.96/129,743.20
  6. Step 6: Final answer
    x = 150,550.10

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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.