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Finding the Fourth Proportional to 275,972.67, 414,118.47 and 116,035.84

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Solution

The fourth proportional to 275,972.67, 414,118.47 and 116,035.84 is: 174,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,972.67 : 414,118.47 = 116,035.84 : x
  2. Step 2: Convert to fraction form
    275,972.67/414,118.47 = 116,035.84/x
  3. Step 3: Cross multiply
    275,972.67x = 414,118.47 × 116,035.84
  4. Step 4: Simplify right side
    275,972.67x = 48,052,585,478.75
  5. Step 5: Solve for x
    x = 48,052,585,478.75/275,972.67
  6. Step 6: Final answer
    x = 174,120.81

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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.