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Finding the Fourth Proportional to 182,357.20, 273,406.20 and 82,565.20

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Solution

The fourth proportional to 182,357.20, 273,406.20 and 82,565.20 is: 123,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,357.20 : 273,406.20 = 82,565.20 : x
  2. Step 2: Convert to fraction form
    182,357.20/273,406.20 = 82,565.20/x
  3. Step 3: Cross multiply
    182,357.20x = 273,406.20 × 82,565.20
  4. Step 4: Simplify right side
    182,357.20x = 22,573,837,584.24
  5. Step 5: Solve for x
    x = 22,573,837,584.24/182,357.20
  6. Step 6: Final answer
    x = 123,789.12

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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.