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Finding the Fourth Proportional to 281,585.43, 422,345.30 and 113,098.95

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Solution

The fourth proportional to 281,585.43, 422,345.30 and 113,098.95 is: 169,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,585.43 : 422,345.30 = 113,098.95 : x
  2. Step 2: Convert to fraction form
    281,585.43/422,345.30 = 113,098.95/x
  3. Step 3: Cross multiply
    281,585.43x = 422,345.30 × 113,098.95
  4. Step 4: Simplify right side
    281,585.43x = 47,766,809,401.94
  5. Step 5: Solve for x
    x = 47,766,809,401.94/281,585.43
  6. Step 6: Final answer
    x = 169,635.23

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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.