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Finding the Fourth Proportional to 120,560.34, 180,585.99 and 96,738.78

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Solution

The fourth proportional to 120,560.34, 180,585.99 and 96,738.78 is: 144,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,560.34 : 180,585.99 = 96,738.78 : x
  2. Step 2: Convert to fraction form
    120,560.34/180,585.99 = 96,738.78/x
  3. Step 3: Cross multiply
    120,560.34x = 180,585.99 × 96,738.78
  4. Step 4: Simplify right side
    120,560.34x = 17,469,668,357.69
  5. Step 5: Solve for x
    x = 17,469,668,357.69/120,560.34
  6. Step 6: Final answer
    x = 144,903.94

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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.