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Finding the Fourth Proportional to 192,176.56, 265,186.20 and 107,278

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Solution

The fourth proportional to 192,176.56, 265,186.20 and 107,278 is: 148,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,176.56 : 265,186.20 = 107,278 : x
  2. Step 2: Convert to fraction form
    192,176.56/265,186.20 = 107,278/x
  3. Step 3: Cross multiply
    192,176.56x = 265,186.20 × 107,278
  4. Step 4: Simplify right side
    192,176.56x = 28,448,645,163.60
  5. Step 5: Solve for x
    x = 28,448,645,163.60/192,176.56
  6. Step 6: Final answer
    x = 148,033.90

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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.