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Finding the Fourth Proportional to 206,436, 309,706.02 and 58,692

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Solution

The fourth proportional to 206,436, 309,706.02 and 58,692 is: 88,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436 : 309,706.02 = 58,692 : x
  2. Step 2: Convert to fraction form
    206,436/309,706.02 = 58,692/x
  3. Step 3: Cross multiply
    206,436x = 309,706.02 × 58,692
  4. Step 4: Simplify right side
    206,436x = 18,177,265,725.84
  5. Step 5: Solve for x
    x = 18,177,265,725.84/206,436
  6. Step 6: Final answer
    x = 88,052.79

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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.