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Finding the Fourth Proportional to 197,954.91, 296,974.35 and 64,825.32

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Solution

The fourth proportional to 197,954.91, 296,974.35 and 64,825.32 is: 97,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,954.91 : 296,974.35 = 64,825.32 : x
  2. Step 2: Convert to fraction form
    197,954.91/296,974.35 = 64,825.32/x
  3. Step 3: Cross multiply
    197,954.91x = 296,974.35 × 64,825.32
  4. Step 4: Simplify right side
    197,954.91x = 19,251,457,270.54
  5. Step 5: Solve for x
    x = 19,251,457,270.54/197,954.91
  6. Step 6: Final answer
    x = 97,251.73

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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.