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Finding the Fourth Proportional to 274,522, 378,581.16 and 179,101.84

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Solution

The fourth proportional to 274,522, 378,581.16 and 179,101.84 is: 246,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,522 : 378,581.16 = 179,101.84 : x
  2. Step 2: Convert to fraction form
    274,522/378,581.16 = 179,101.84/x
  3. Step 3: Cross multiply
    274,522x = 378,581.16 × 179,101.84
  4. Step 4: Simplify right side
    274,522x = 67,804,582,345.33
  5. Step 5: Solve for x
    x = 67,804,582,345.33/274,522
  6. Step 6: Final answer
    x = 246,991.43

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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.