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Finding the Fourth Proportional to 281,893.40, 422,775.41 and 168,073.42

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Solution

The fourth proportional to 281,893.40, 422,775.41 and 168,073.42 is: 252,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,893.40 : 422,775.41 = 168,073.42 : x
  2. Step 2: Convert to fraction form
    281,893.40/422,775.41 = 168,073.42/x
  3. Step 3: Cross multiply
    281,893.40x = 422,775.41 × 168,073.42
  4. Step 4: Simplify right side
    281,893.40x = 71,057,307,153.30
  5. Step 5: Solve for x
    x = 71,057,307,153.30/281,893.40
  6. Step 6: Final answer
    x = 252,071.55

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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.