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Finding the Fourth Proportional to 562,100.20, 843,142.49 and 135,632.46

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Solution

The fourth proportional to 562,100.20, 843,142.49 and 135,632.46 is: 203,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,100.20 : 843,142.49 = 135,632.46 : x
  2. Step 2: Convert to fraction form
    562,100.20/843,142.49 = 135,632.46/x
  3. Step 3: Cross multiply
    562,100.20x = 843,142.49 × 135,632.46
  4. Step 4: Simplify right side
    562,100.20x = 114,357,490,049.23
  5. Step 5: Solve for x
    x = 114,357,490,049.23/562,100.20
  6. Step 6: Final answer
    x = 203,446.81

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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.