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Finding the Fourth Proportional to 253,114.80, 379,234.80 and 213,748.80

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Solution

The fourth proportional to 253,114.80, 379,234.80 and 213,748.80 is: 320,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,114.80 : 379,234.80 = 213,748.80 : x
  2. Step 2: Convert to fraction form
    253,114.80/379,234.80 = 213,748.80/x
  3. Step 3: Cross multiply
    253,114.80x = 379,234.80 × 213,748.80
  4. Step 4: Simplify right side
    253,114.80x = 81,060,983,418.24
  5. Step 5: Solve for x
    x = 81,060,983,418.24/253,114.80
  6. Step 6: Final answer
    x = 320,253.83

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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.