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Finding the Fourth Proportional to 254,786.60, 382,082.70 and 77,234.60

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Solution

The fourth proportional to 254,786.60, 382,082.70 and 77,234.60 is: 115,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,786.60 : 382,082.70 = 77,234.60 : x
  2. Step 2: Convert to fraction form
    254,786.60/382,082.70 = 77,234.60/x
  3. Step 3: Cross multiply
    254,786.60x = 382,082.70 × 77,234.60
  4. Step 4: Simplify right side
    254,786.60x = 29,510,004,501.42
  5. Step 5: Solve for x
    x = 29,510,004,501.42/254,786.60
  6. Step 6: Final answer
    x = 115,822.44

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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.