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Finding the Fourth Proportional to 150,104.80, 224,610.45 and 110,738.80

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Solution

The fourth proportional to 150,104.80, 224,610.45 and 110,738.80 is: 165,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,104.80 : 224,610.45 = 110,738.80 : x
  2. Step 2: Convert to fraction form
    150,104.80/224,610.45 = 110,738.80/x
  3. Step 3: Cross multiply
    150,104.80x = 224,610.45 × 110,738.80
  4. Step 4: Simplify right side
    150,104.80x = 24,873,091,700.46
  5. Step 5: Solve for x
    x = 24,873,091,700.46/150,104.80
  6. Step 6: Final answer
    x = 165,704.84

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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.