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Finding the Fourth Proportional to 197,635.28, 296,363.48 and 85,262.48

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Solution

The fourth proportional to 197,635.28, 296,363.48 and 85,262.48 is: 127,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,635.28 : 296,363.48 = 85,262.48 : x
  2. Step 2: Convert to fraction form
    197,635.28/296,363.48 = 85,262.48/x
  3. Step 3: Cross multiply
    197,635.28x = 296,363.48 × 85,262.48
  4. Step 4: Simplify right side
    197,635.28x = 25,268,685,286.23
  5. Step 5: Solve for x
    x = 25,268,685,286.23/197,635.28
  6. Step 6: Final answer
    x = 127,855.13

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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.