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Finding the Fourth Proportional to 120,169.56, 180,199.64 and 63,995.24

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Solution

The fourth proportional to 120,169.56, 180,199.64 and 63,995.24 is: 95,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.56 : 180,199.64 = 63,995.24 : x
  2. Step 2: Convert to fraction form
    120,169.56/180,199.64 = 63,995.24/x
  3. Step 3: Cross multiply
    120,169.56x = 180,199.64 × 63,995.24
  4. Step 4: Simplify right side
    120,169.56x = 11,531,919,209.71
  5. Step 5: Solve for x
    x = 11,531,919,209.71/120,169.56
  6. Step 6: Final answer
    x = 95,963.73

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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.