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Finding the Fourth Proportional to 275,774.32, 413,638.44 and 109,517.68

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Solution

The fourth proportional to 275,774.32, 413,638.44 and 109,517.68 is: 164,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,774.32 : 413,638.44 = 109,517.68 : x
  2. Step 2: Convert to fraction form
    275,774.32/413,638.44 = 109,517.68/x
  3. Step 3: Cross multiply
    275,774.32x = 413,638.44 × 109,517.68
  4. Step 4: Simplify right side
    275,774.32x = 45,300,722,307.62
  5. Step 5: Solve for x
    x = 45,300,722,307.62/275,774.32
  6. Step 6: Final answer
    x = 164,267.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.