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Finding the Fourth Proportional to 273,713.68, 377,710.44 and 154,474

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Solution

The fourth proportional to 273,713.68, 377,710.44 and 154,474 is: 213,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,713.68 : 377,710.44 = 154,474 : x
  2. Step 2: Convert to fraction form
    273,713.68/377,710.44 = 154,474/x
  3. Step 3: Cross multiply
    273,713.68x = 377,710.44 × 154,474
  4. Step 4: Simplify right side
    273,713.68x = 58,346,442,508.56
  5. Step 5: Solve for x
    x = 58,346,442,508.56/273,713.68
  6. Step 6: Final answer
    x = 213,165.97

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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.