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Finding the Fourth Proportional to 182,348.20, 273,494.94 and 57,673

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Solution

The fourth proportional to 182,348.20, 273,494.94 and 57,673 is: 86,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,348.20 : 273,494.94 = 57,673 : x
  2. Step 2: Convert to fraction form
    182,348.20/273,494.94 = 57,673/x
  3. Step 3: Cross multiply
    182,348.20x = 273,494.94 × 57,673
  4. Step 4: Simplify right side
    182,348.20x = 15,773,273,674.62
  5. Step 5: Solve for x
    x = 15,773,273,674.62/182,348.20
  6. Step 6: Final answer
    x = 86,500.85

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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.