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Finding the Fourth Proportional to 147,744, 203,886.72 and 80,676

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Solution

The fourth proportional to 147,744, 203,886.72 and 80,676 is: 111,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744 : 203,886.72 = 80,676 : x
  2. Step 2: Convert to fraction form
    147,744/203,886.72 = 80,676/x
  3. Step 3: Cross multiply
    147,744x = 203,886.72 × 80,676
  4. Step 4: Simplify right side
    147,744x = 16,448,765,022.72
  5. Step 5: Solve for x
    x = 16,448,765,022.72/147,744
  6. Step 6: Final answer
    x = 111,332.88

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