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Finding the Fourth Proportional to 281,589.84, 422,296.38 and 92,007

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Solution

The fourth proportional to 281,589.84, 422,296.38 and 92,007 is: 137,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,589.84 : 422,296.38 = 92,007 : x
  2. Step 2: Convert to fraction form
    281,589.84/422,296.38 = 92,007/x
  3. Step 3: Cross multiply
    281,589.84x = 422,296.38 × 92,007
  4. Step 4: Simplify right side
    281,589.84x = 38,854,223,034.66
  5. Step 5: Solve for x
    x = 38,854,223,034.66/281,589.84
  6. Step 6: Final answer
    x = 137,981.62

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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.