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Finding the Fourth Proportional to 281,624.73, 422,082.27 and 201,244.02

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Solution

The fourth proportional to 281,624.73, 422,082.27 and 201,244.02 is: 301,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,624.73 : 422,082.27 = 201,244.02 : x
  2. Step 2: Convert to fraction form
    281,624.73/422,082.27 = 201,244.02/x
  3. Step 3: Cross multiply
    281,624.73x = 422,082.27 × 201,244.02
  4. Step 4: Simplify right side
    281,624.73x = 84,941,532,785.53
  5. Step 5: Solve for x
    x = 84,941,532,785.53/281,624.73
  6. Step 6: Final answer
    x = 301,612.48

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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.