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Finding the Fourth Proportional to 150,415.02, 225,472.37 and 75,305.86

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Solution

The fourth proportional to 150,415.02, 225,472.37 and 75,305.86 is: 112,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,415.02 : 225,472.37 = 75,305.86 : x
  2. Step 2: Convert to fraction form
    150,415.02/225,472.37 = 75,305.86/x
  3. Step 3: Cross multiply
    150,415.02x = 225,472.37 × 75,305.86
  4. Step 4: Simplify right side
    150,415.02x = 16,979,390,729.09
  5. Step 5: Solve for x
    x = 16,979,390,729.09/150,415.02
  6. Step 6: Final answer
    x = 112,883.61

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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.