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Finding the Fourth Proportional to 251,882.25, 377,970.99 and 180,728.20

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Solution

The fourth proportional to 251,882.25, 377,970.99 and 180,728.20 is: 271,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,882.25 : 377,970.99 = 180,728.20 : x
  2. Step 2: Convert to fraction form
    251,882.25/377,970.99 = 180,728.20/x
  3. Step 3: Cross multiply
    251,882.25x = 377,970.99 × 180,728.20
  4. Step 4: Simplify right side
    251,882.25x = 68,310,016,674.92
  5. Step 5: Solve for x
    x = 68,310,016,674.92/251,882.25
  6. Step 6: Final answer
    x = 271,198.22

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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.