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Finding the Fourth Proportional to 206,490.30, 309,735.45 and 143,504.70

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Solution

The fourth proportional to 206,490.30, 309,735.45 and 143,504.70 is: 215,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.30 : 309,735.45 = 143,504.70 : x
  2. Step 2: Convert to fraction form
    206,490.30/309,735.45 = 143,504.70/x
  3. Step 3: Cross multiply
    206,490.30x = 309,735.45 × 143,504.70
  4. Step 4: Simplify right side
    206,490.30x = 44,448,492,831.62
  5. Step 5: Solve for x
    x = 44,448,492,831.62/206,490.30
  6. Step 6: Final answer
    x = 215,257.05

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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.