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Finding the Fourth Proportional to 310,052.91, 465,183.10 and 120,519.60

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Solution

The fourth proportional to 310,052.91, 465,183.10 and 120,519.60 is: 180,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,052.91 : 465,183.10 = 120,519.60 : x
  2. Step 2: Convert to fraction form
    310,052.91/465,183.10 = 120,519.60/x
  3. Step 3: Cross multiply
    310,052.91x = 465,183.10 × 120,519.60
  4. Step 4: Simplify right side
    310,052.91x = 56,063,679,544.97
  5. Step 5: Solve for x
    x = 56,063,679,544.97/310,052.91
  6. Step 6: Final answer
    x = 180,819.72

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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.