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Finding the Fourth Proportional to 206,351.60, 309,527.48 and 136,214.48

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Solution

The fourth proportional to 206,351.60, 309,527.48 and 136,214.48 is: 204,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,351.60 : 309,527.48 = 136,214.48 : x
  2. Step 2: Convert to fraction form
    206,351.60/309,527.48 = 136,214.48/x
  3. Step 3: Cross multiply
    206,351.60x = 309,527.48 × 136,214.48
  4. Step 4: Simplify right side
    206,351.60x = 42,162,124,733.91
  5. Step 5: Solve for x
    x = 42,162,124,733.91/206,351.60
  6. Step 6: Final answer
    x = 204,321.77

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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.