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Finding the Fourth Proportional to 281,384.92, 422,062.26 and 71,024.68

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Solution

The fourth proportional to 281,384.92, 422,062.26 and 71,024.68 is: 106,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,384.92 : 422,062.26 = 71,024.68 : x
  2. Step 2: Convert to fraction form
    281,384.92/422,062.26 = 71,024.68/x
  3. Step 3: Cross multiply
    281,384.92x = 422,062.26 × 71,024.68
  4. Step 4: Simplify right side
    281,384.92x = 29,976,836,956.58
  5. Step 5: Solve for x
    x = 29,976,836,956.58/281,384.92
  6. Step 6: Final answer
    x = 106,533.20

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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.