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Finding the Fourth Proportional to 281,776.63, 422,729.75 and 92,243.11

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Solution

The fourth proportional to 281,776.63, 422,729.75 and 92,243.11 is: 138,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,776.63 : 422,729.75 = 92,243.11 : x
  2. Step 2: Convert to fraction form
    281,776.63/422,729.75 = 92,243.11/x
  3. Step 3: Cross multiply
    281,776.63x = 422,729.75 × 92,243.11
  4. Step 4: Simplify right side
    281,776.63x = 38,993,907,771.04
  5. Step 5: Solve for x
    x = 38,993,907,771.04/281,776.63
  6. Step 6: Final answer
    x = 138,385.88

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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.