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Finding the Fourth Proportional to 182,422.50, 273,634.66 and 82,465.64

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Solution

The fourth proportional to 182,422.50, 273,634.66 and 82,465.64 is: 123,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,422.50 : 273,634.66 = 82,465.64 : x
  2. Step 2: Convert to fraction form
    182,422.50/273,634.66 = 82,465.64/x
  3. Step 3: Cross multiply
    182,422.50x = 273,634.66 × 82,465.64
  4. Step 4: Simplify right side
    182,422.50x = 22,565,457,363.08
  5. Step 5: Solve for x
    x = 22,565,457,363.08/182,422.50
  6. Step 6: Final answer
    x = 123,698.87

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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.