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Finding the Fourth Proportional to 281,861.76, 422,800.32 and 82,177.32

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Solution

The fourth proportional to 281,861.76, 422,800.32 and 82,177.32 is: 123,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,861.76 : 422,800.32 = 82,177.32 : x
  2. Step 2: Convert to fraction form
    281,861.76/422,800.32 = 82,177.32/x
  3. Step 3: Cross multiply
    281,861.76x = 422,800.32 × 82,177.32
  4. Step 4: Simplify right side
    281,861.76x = 34,744,597,192.74
  5. Step 5: Solve for x
    x = 34,744,597,192.74/281,861.76
  6. Step 6: Final answer
    x = 123,268.22

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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.