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Finding the Fourth Proportional to 126,469.20, 189,714.60 and 43,363.20

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Solution

The fourth proportional to 126,469.20, 189,714.60 and 43,363.20 is: 65,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,469.20 : 189,714.60 = 43,363.20 : x
  2. Step 2: Convert to fraction form
    126,469.20/189,714.60 = 43,363.20/x
  3. Step 3: Cross multiply
    126,469.20x = 189,714.60 × 43,363.20
  4. Step 4: Simplify right side
    126,469.20x = 8,226,632,142.72
  5. Step 5: Solve for x
    x = 8,226,632,142.72/126,469.20
  6. Step 6: Final answer
    x = 65,048.50

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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.