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Finding the Fourth Proportional to 273,533.72, 377,178.90 and 177,863

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Solution

The fourth proportional to 273,533.72, 377,178.90 and 177,863 is: 245,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,533.72 : 377,178.90 = 177,863 : x
  2. Step 2: Convert to fraction form
    273,533.72/377,178.90 = 177,863/x
  3. Step 3: Cross multiply
    273,533.72x = 377,178.90 × 177,863
  4. Step 4: Simplify right side
    273,533.72x = 67,086,170,690.70
  5. Step 5: Solve for x
    x = 67,086,170,690.70/273,533.72
  6. Step 6: Final answer
    x = 245,257.41

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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.