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Finding the Fourth Proportional to 281,599.56, 422,364.10 and 92,044.06

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Solution

The fourth proportional to 281,599.56, 422,364.10 and 92,044.06 is: 138,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,599.56 : 422,364.10 = 92,044.06 : x
  2. Step 2: Convert to fraction form
    281,599.56/422,364.10 = 92,044.06/x
  3. Step 3: Cross multiply
    281,599.56x = 422,364.10 × 92,044.06
  4. Step 4: Simplify right side
    281,599.56x = 38,876,106,562.25
  5. Step 5: Solve for x
    x = 38,876,106,562.25/281,599.56
  6. Step 6: Final answer
    x = 138,054.57

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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.