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Finding the Fourth Proportional to 182,354.20, 273,401.70 and 82,562.20

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Solution

The fourth proportional to 182,354.20, 273,401.70 and 82,562.20 is: 123,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,354.20 : 273,401.70 = 82,562.20 : x
  2. Step 2: Convert to fraction form
    182,354.20/273,401.70 = 82,562.20/x
  3. Step 3: Cross multiply
    182,354.20x = 273,401.70 × 82,562.20
  4. Step 4: Simplify right side
    182,354.20x = 22,572,645,835.74
  5. Step 5: Solve for x
    x = 22,572,645,835.74/182,354.20
  6. Step 6: Final answer
    x = 123,784.62

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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.