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Finding the Fourth Proportional to 281,461.62, 422,236.16 and 94,516.86

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Solution

The fourth proportional to 281,461.62, 422,236.16 and 94,516.86 is: 141,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,461.62 : 422,236.16 = 94,516.86 : x
  2. Step 2: Convert to fraction form
    281,461.62/422,236.16 = 94,516.86/x
  3. Step 3: Cross multiply
    281,461.62x = 422,236.16 × 94,516.86
  4. Step 4: Simplify right side
    281,461.62x = 39,908,436,257.95
  5. Step 5: Solve for x
    x = 39,908,436,257.95/281,461.62
  6. Step 6: Final answer
    x = 141,789.98

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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.