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Finding the Fourth Proportional to 273,821.88, 377,716.50 and 164,850.42

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Solution

The fourth proportional to 273,821.88, 377,716.50 and 164,850.42 is: 227,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,821.88 : 377,716.50 = 164,850.42 : x
  2. Step 2: Convert to fraction form
    273,821.88/377,716.50 = 164,850.42/x
  3. Step 3: Cross multiply
    273,821.88x = 377,716.50 × 164,850.42
  4. Step 4: Simplify right side
    273,821.88x = 62,266,723,665.93
  5. Step 5: Solve for x
    x = 62,266,723,665.93/273,821.88
  6. Step 6: Final answer
    x = 227,398.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.