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Finding the Fourth Proportional to 170,741.76, 255,902.80 and 120,836

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Solution

The fourth proportional to 170,741.76, 255,902.80 and 120,836 is: 181,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,741.76 : 255,902.80 = 120,836 : x
  2. Step 2: Convert to fraction form
    170,741.76/255,902.80 = 120,836/x
  3. Step 3: Cross multiply
    170,741.76x = 255,902.80 × 120,836
  4. Step 4: Simplify right side
    170,741.76x = 30,922,270,740.80
  5. Step 5: Solve for x
    x = 30,922,270,740.80/170,741.76
  6. Step 6: Final answer
    x = 181,105.49

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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.