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Finding the Fourth Proportional to 80,173.16, 120,262.81 and 35,800.30

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Solution

The fourth proportional to 80,173.16, 120,262.81 and 35,800.30 is: 53,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,173.16 : 120,262.81 = 35,800.30 : x
  2. Step 2: Convert to fraction form
    80,173.16/120,262.81 = 35,800.30/x
  3. Step 3: Cross multiply
    80,173.16x = 120,262.81 × 35,800.30
  4. Step 4: Simplify right side
    80,173.16x = 4,305,444,676.84
  5. Step 5: Solve for x
    x = 4,305,444,676.84/80,173.16
  6. Step 6: Final answer
    x = 53,701.82

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1.5x scale

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.