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Finding the Fourth Proportional to 150,049.40, 207,059.82 and 82,052.84

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Solution

The fourth proportional to 150,049.40, 207,059.82 and 82,052.84 is: 113,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,049.40 : 207,059.82 = 82,052.84 : x
  2. Step 2: Convert to fraction form
    150,049.40/207,059.82 = 82,052.84/x
  3. Step 3: Cross multiply
    150,049.40x = 207,059.82 × 82,052.84
  4. Step 4: Simplify right side
    150,049.40x = 16,989,846,280.89
  5. Step 5: Solve for x
    x = 16,989,846,280.89/150,049.40
  6. Step 6: Final answer
    x = 113,228.35

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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.