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Finding the Fourth Proportional to 206,250.84, 284,637.78 and 115,636.14

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Solution

The fourth proportional to 206,250.84, 284,637.78 and 115,636.14 is: 159,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,250.84 : 284,637.78 = 115,636.14 : x
  2. Step 2: Convert to fraction form
    206,250.84/284,637.78 = 115,636.14/x
  3. Step 3: Cross multiply
    206,250.84x = 284,637.78 × 115,636.14
  4. Step 4: Simplify right side
    206,250.84x = 32,914,414,177.37
  5. Step 5: Solve for x
    x = 32,914,414,177.37/206,250.84
  6. Step 6: Final answer
    x = 159,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.