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Finding the Fourth Proportional to 197,765.76, 296,441.28 and 92,496

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Solution

The fourth proportional to 197,765.76, 296,441.28 and 92,496 is: 138,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,765.76 : 296,441.28 = 92,496 : x
  2. Step 2: Convert to fraction form
    197,765.76/296,441.28 = 92,496/x
  3. Step 3: Cross multiply
    197,765.76x = 296,441.28 × 92,496
  4. Step 4: Simplify right side
    197,765.76x = 27,419,632,634.88
  5. Step 5: Solve for x
    x = 27,419,632,634.88/197,765.76
  6. Step 6: Final answer
    x = 138,647.02

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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.