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Finding the Fourth Proportional to 159,743.80, 239,615.70 and 41,414.20

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Solution

The fourth proportional to 159,743.80, 239,615.70 and 41,414.20 is: 62,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,743.80 : 239,615.70 = 41,414.20 : x
  2. Step 2: Convert to fraction form
    159,743.80/239,615.70 = 41,414.20/x
  3. Step 3: Cross multiply
    159,743.80x = 239,615.70 × 41,414.20
  4. Step 4: Simplify right side
    159,743.80x = 9,923,492,522.94
  5. Step 5: Solve for x
    x = 9,923,492,522.94/159,743.80
  6. Step 6: Final answer
    x = 62,121.30

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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.