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Finding the Fourth Proportional to 281,660.70, 422,491.36 and 71,298.62

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Solution

The fourth proportional to 281,660.70, 422,491.36 and 71,298.62 is: 106,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,660.70 : 422,491.36 = 71,298.62 : x
  2. Step 2: Convert to fraction form
    281,660.70/422,491.36 = 71,298.62/x
  3. Step 3: Cross multiply
    281,660.70x = 422,491.36 × 71,298.62
  4. Step 4: Simplify right side
    281,660.70x = 30,123,050,929.92
  5. Step 5: Solve for x
    x = 30,123,050,929.92/281,660.70
  6. Step 6: Final answer
    x = 106,948.01

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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.