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Finding the Fourth Proportional to 150,115.60, 225,108.60 and 75,206.80

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Solution

The fourth proportional to 150,115.60, 225,108.60 and 75,206.80 is: 112,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,115.60 : 225,108.60 = 75,206.80 : x
  2. Step 2: Convert to fraction form
    150,115.60/225,108.60 = 75,206.80/x
  3. Step 3: Cross multiply
    150,115.60x = 225,108.60 × 75,206.80
  4. Step 4: Simplify right side
    150,115.60x = 16,929,697,458.48
  5. Step 5: Solve for x
    x = 16,929,697,458.48/150,115.60
  6. Step 6: Final answer
    x = 112,777.74

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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.