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Finding the Fourth Proportional to 150,023.65, 207,029.50 and 82,039.86

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Solution

The fourth proportional to 150,023.65, 207,029.50 and 82,039.86 is: 113,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,023.65 : 207,029.50 = 82,039.86 : x
  2. Step 2: Convert to fraction form
    150,023.65/207,029.50 = 82,039.86/x
  3. Step 3: Cross multiply
    150,023.65x = 207,029.50 × 82,039.86
  4. Step 4: Simplify right side
    150,023.65x = 16,984,671,195.87
  5. Step 5: Solve for x
    x = 16,984,671,195.87/150,023.65
  6. Step 6: Final answer
    x = 113,213.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.