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Finding the Fourth Proportional to 92,227.70, 138,232.20 and 82,823.60

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Solution

The fourth proportional to 92,227.70, 138,232.20 and 82,823.60 is: 124,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,227.70 : 138,232.20 = 82,823.60 : x
  2. Step 2: Convert to fraction form
    92,227.70/138,232.20 = 82,823.60/x
  3. Step 3: Cross multiply
    92,227.70x = 138,232.20 × 82,823.60
  4. Step 4: Simplify right side
    92,227.70x = 11,448,888,439.92
  5. Step 5: Solve for x
    x = 11,448,888,439.92/92,227.70
  6. Step 6: Final answer
    x = 124,137.20

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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.