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Finding the Fourth Proportional to 281,709.63, 422,565.19 and 82,034.91

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Solution

The fourth proportional to 281,709.63, 422,565.19 and 82,034.91 is: 123,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,709.63 : 422,565.19 = 82,034.91 : x
  2. Step 2: Convert to fraction form
    281,709.63/422,565.19 = 82,034.91/x
  3. Step 3: Cross multiply
    281,709.63x = 422,565.19 × 82,034.91
  4. Step 4: Simplify right side
    281,709.63x = 34,665,097,125.70
  5. Step 5: Solve for x
    x = 34,665,097,125.70/281,709.63
  6. Step 6: Final answer
    x = 123,052.58

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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.