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Finding the Fourth Proportional to 182,198.40, 273,232.80 and 82,406.40

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Solution

The fourth proportional to 182,198.40, 273,232.80 and 82,406.40 is: 123,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,198.40 : 273,232.80 = 82,406.40 : x
  2. Step 2: Convert to fraction form
    182,198.40/273,232.80 = 82,406.40/x
  3. Step 3: Cross multiply
    182,198.40x = 273,232.80 × 82,406.40
  4. Step 4: Simplify right side
    182,198.40x = 22,516,131,409.92
  5. Step 5: Solve for x
    x = 22,516,131,409.92/182,198.40
  6. Step 6: Final answer
    x = 123,580.29

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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.