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Finding the Fourth Proportional to 206,695.84, 309,753 and 164,388.16

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Solution

The fourth proportional to 206,695.84, 309,753 and 164,388.16 is: 246,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.84 : 309,753 = 164,388.16 : x
  2. Step 2: Convert to fraction form
    206,695.84/309,753 = 164,388.16/x
  3. Step 3: Cross multiply
    206,695.84x = 309,753 × 164,388.16
  4. Step 4: Simplify right side
    206,695.84x = 50,919,725,724.48
  5. Step 5: Solve for x
    x = 50,919,725,724.48/206,695.84
  6. Step 6: Final answer
    x = 246,350.99

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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.