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Finding the Fourth Proportional to 215,841.20, 323,761.80 and 180,849.20

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Solution

The fourth proportional to 215,841.20, 323,761.80 and 180,849.20 is: 271,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,841.20 : 323,761.80 = 180,849.20 : x
  2. Step 2: Convert to fraction form
    215,841.20/323,761.80 = 180,849.20/x
  3. Step 3: Cross multiply
    215,841.20x = 323,761.80 × 180,849.20
  4. Step 4: Simplify right side
    215,841.20x = 58,552,062,520.56
  5. Step 5: Solve for x
    x = 58,552,062,520.56/215,841.20
  6. Step 6: Final answer
    x = 271,273.80

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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.