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Finding the Fourth Proportional to 159,740.80, 239,611.20 and 41,411.20

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Solution

The fourth proportional to 159,740.80, 239,611.20 and 41,411.20 is: 62,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,740.80 : 239,611.20 = 41,411.20 : x
  2. Step 2: Convert to fraction form
    159,740.80/239,611.20 = 41,411.20/x
  3. Step 3: Cross multiply
    159,740.80x = 239,611.20 × 41,411.20
  4. Step 4: Simplify right side
    159,740.80x = 9,922,587,325.44
  5. Step 5: Solve for x
    x = 9,922,587,325.44/159,740.80
  6. Step 6: Final answer
    x = 62,116.80

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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.