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Finding the Fourth Proportional to 281,777.57, 422,731.16 and 92,244.05

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Solution

The fourth proportional to 281,777.57, 422,731.16 and 92,244.05 is: 138,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,777.57 : 422,731.16 = 92,244.05 : x
  2. Step 2: Convert to fraction form
    281,777.57/422,731.16 = 92,244.05/x
  3. Step 3: Cross multiply
    281,777.57x = 422,731.16 × 92,244.05
  4. Step 4: Simplify right side
    281,777.57x = 38,994,433,798.38
  5. Step 5: Solve for x
    x = 38,994,433,798.38/281,777.57
  6. Step 6: Final answer
    x = 138,387.29

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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.