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Finding the Fourth Proportional to 192,084.33, 265,103.09 and 107,206.86

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Solution

The fourth proportional to 192,084.33, 265,103.09 and 107,206.86 is: 147,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,084.33 : 265,103.09 = 107,206.86 : x
  2. Step 2: Convert to fraction form
    192,084.33/265,103.09 = 107,206.86/x
  3. Step 3: Cross multiply
    192,084.33x = 265,103.09 × 107,206.86
  4. Step 4: Simplify right side
    192,084.33x = 28,420,869,855.20
  5. Step 5: Solve for x
    x = 28,420,869,855.20/192,084.33
  6. Step 6: Final answer
    x = 147,960.38

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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.