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Finding the Fourth Proportional to 150,024.75, 207,025.65 and 82,029.03

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Solution

The fourth proportional to 150,024.75, 207,025.65 and 82,029.03 is: 113,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,024.75 : 207,025.65 = 82,029.03 : x
  2. Step 2: Convert to fraction form
    150,024.75/207,025.65 = 82,029.03/x
  3. Step 3: Cross multiply
    150,024.75x = 207,025.65 × 82,029.03
  4. Step 4: Simplify right side
    150,024.75x = 16,982,113,254.62
  5. Step 5: Solve for x
    x = 16,982,113,254.62/150,024.75
  6. Step 6: Final answer
    x = 113,195.41

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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.