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Finding the Fourth Proportional to 197,686.78, 296,687.00 and 102,943.91

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Solution

The fourth proportional to 197,686.78, 296,687.00 and 102,943.91 is: 154,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,686.78 : 296,687.00 = 102,943.91 : x
  2. Step 2: Convert to fraction form
    197,686.78/296,687.00 = 102,943.91/x
  3. Step 3: Cross multiply
    197,686.78x = 296,687.00 × 102,943.91
  4. Step 4: Simplify right side
    197,686.78x = 30,542,120,825.25
  5. Step 5: Solve for x
    x = 30,542,120,825.25/197,686.78
  6. Step 6: Final answer
    x = 154,497.54

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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.