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Finding the Fourth Proportional to 194,708.54, 268,819.42 and 149,299.28

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Solution

The fourth proportional to 194,708.54, 268,819.42 and 149,299.28 is: 206,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,708.54 : 268,819.42 = 149,299.28 : x
  2. Step 2: Convert to fraction form
    194,708.54/268,819.42 = 149,299.28/x
  3. Step 3: Cross multiply
    194,708.54x = 268,819.42 × 149,299.28
  4. Step 4: Simplify right side
    194,708.54x = 40,134,545,856.02
  5. Step 5: Solve for x
    x = 40,134,545,856.02/194,708.54
  6. Step 6: Final answer
    x = 206,126.27

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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.