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Finding the Fourth Proportional to 206,573.70, 309,204.45 and 147,524.70

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Solution

The fourth proportional to 206,573.70, 309,204.45 and 147,524.70 is: 220,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,573.70 : 309,204.45 = 147,524.70 : x
  2. Step 2: Convert to fraction form
    206,573.70/309,204.45 = 147,524.70/x
  3. Step 3: Cross multiply
    206,573.70x = 309,204.45 × 147,524.70
  4. Step 4: Simplify right side
    206,573.70x = 45,615,293,724.92
  5. Step 5: Solve for x
    x = 45,615,293,724.92/206,573.70
  6. Step 6: Final answer
    x = 220,818.50

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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.