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Finding the Fourth Proportional to 194,448, 268,309.08 and 109,563.24

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Solution

The fourth proportional to 194,448, 268,309.08 and 109,563.24 is: 151,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,448 : 268,309.08 = 109,563.24 : x
  2. Step 2: Convert to fraction form
    194,448/268,309.08 = 109,563.24/x
  3. Step 3: Cross multiply
    194,448x = 268,309.08 × 109,563.24
  4. Step 4: Simplify right side
    194,448x = 29,396,812,126.22
  5. Step 5: Solve for x
    x = 29,396,812,126.22/194,448
  6. Step 6: Final answer
    x = 151,180.84

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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.