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Finding the Fourth Proportional to 348,204.80, 522,353.70 and 137,793.56

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Solution

The fourth proportional to 348,204.80, 522,353.70 and 137,793.56 is: 206,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,204.80 : 522,353.70 = 137,793.56 : x
  2. Step 2: Convert to fraction form
    348,204.80/522,353.70 = 137,793.56/x
  3. Step 3: Cross multiply
    348,204.80x = 522,353.70 × 137,793.56
  4. Step 4: Simplify right side
    348,204.80x = 71,976,975,902.17
  5. Step 5: Solve for x
    x = 71,976,975,902.17/348,204.80
  6. Step 6: Final answer
    x = 206,708.74

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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.