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Finding the Fourth Proportional to 147,705.28, 203,833.92 and 80,638.72

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Solution

The fourth proportional to 147,705.28, 203,833.92 and 80,638.72 is: 111,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,705.28 : 203,833.92 = 80,638.72 : x
  2. Step 2: Convert to fraction form
    147,705.28/203,833.92 = 80,638.72/x
  3. Step 3: Cross multiply
    147,705.28x = 203,833.92 × 80,638.72
  4. Step 4: Simplify right side
    147,705.28x = 16,436,906,401.38
  5. Step 5: Solve for x
    x = 16,436,906,401.38/147,705.28
  6. Step 6: Final answer
    x = 111,281.78

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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.