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Finding the Fourth Proportional to 562,096.70, 843,137.24 and 135,628.96

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Solution

The fourth proportional to 562,096.70, 843,137.24 and 135,628.96 is: 203,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,096.70 : 843,137.24 = 135,628.96 : x
  2. Step 2: Convert to fraction form
    562,096.70/843,137.24 = 135,628.96/x
  3. Step 3: Cross multiply
    562,096.70x = 843,137.24 × 135,628.96
  4. Step 4: Simplify right side
    562,096.70x = 114,353,825,229.70
  5. Step 5: Solve for x
    x = 114,353,825,229.70/562,096.70
  6. Step 6: Final answer
    x = 203,441.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.