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Finding the Fourth Proportional to 145,170.82, 217,787.34 and 50,404

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Solution

The fourth proportional to 145,170.82, 217,787.34 and 50,404 is: 75,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,170.82 : 217,787.34 = 50,404 : x
  2. Step 2: Convert to fraction form
    145,170.82/217,787.34 = 50,404/x
  3. Step 3: Cross multiply
    145,170.82x = 217,787.34 × 50,404
  4. Step 4: Simplify right side
    145,170.82x = 10,977,353,085.36
  5. Step 5: Solve for x
    x = 10,977,353,085.36/145,170.82
  6. Step 6: Final answer
    x = 75,616.80

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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.