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Finding the Fourth Proportional to 126,470.80, 189,706.20 and 120,638.80

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Solution

The fourth proportional to 126,470.80, 189,706.20 and 120,638.80 is: 180,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,470.80 : 189,706.20 = 120,638.80 : x
  2. Step 2: Convert to fraction form
    126,470.80/189,706.20 = 120,638.80/x
  3. Step 3: Cross multiply
    126,470.80x = 189,706.20 × 120,638.80
  4. Step 4: Simplify right side
    126,470.80x = 22,885,928,320.56
  5. Step 5: Solve for x
    x = 22,885,928,320.56/126,470.80
  6. Step 6: Final answer
    x = 180,958.20

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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.