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Finding the Fourth Proportional to 281,925.17, 422,842.73 and 82,198.86

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Solution

The fourth proportional to 281,925.17, 422,842.73 and 82,198.86 is: 123,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,925.17 : 422,842.73 = 82,198.86 : x
  2. Step 2: Convert to fraction form
    281,925.17/422,842.73 = 82,198.86/x
  3. Step 3: Cross multiply
    281,925.17x = 422,842.73 × 82,198.86
  4. Step 4: Simplify right side
    281,925.17x = 34,757,189,954.29
  5. Step 5: Solve for x
    x = 34,757,189,954.29/281,925.17
  6. Step 6: Final answer
    x = 123,285.16

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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.