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Finding the Fourth Proportional to 159,842.57, 239,763.78 and 47,522.30

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Solution

The fourth proportional to 159,842.57, 239,763.78 and 47,522.30 is: 71,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,842.57 : 239,763.78 = 47,522.30 : x
  2. Step 2: Convert to fraction form
    159,842.57/239,763.78 = 47,522.30/x
  3. Step 3: Cross multiply
    159,842.57x = 239,763.78 × 47,522.30
  4. Step 4: Simplify right side
    159,842.57x = 11,394,125,083.48
  5. Step 5: Solve for x
    x = 11,394,125,083.48/159,842.57
  6. Step 6: Final answer
    x = 71,283.42

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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.