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Finding the Fourth Proportional to 159,738.80, 239,608.20 and 41,409.20

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Solution

The fourth proportional to 159,738.80, 239,608.20 and 41,409.20 is: 62,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,738.80 : 239,608.20 = 41,409.20 : x
  2. Step 2: Convert to fraction form
    159,738.80/239,608.20 = 41,409.20/x
  3. Step 3: Cross multiply
    159,738.80x = 239,608.20 × 41,409.20
  4. Step 4: Simplify right side
    159,738.80x = 9,921,983,875.44
  5. Step 5: Solve for x
    x = 9,921,983,875.44/159,738.80
  6. Step 6: Final answer
    x = 62,113.80

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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.