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Finding the Fourth Proportional to 275,976.34, 414,125.13 and 116,040.70

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Solution

The fourth proportional to 275,976.34, 414,125.13 and 116,040.70 is: 174,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,976.34 : 414,125.13 = 116,040.70 : x
  2. Step 2: Convert to fraction form
    275,976.34/414,125.13 = 116,040.70/x
  3. Step 3: Cross multiply
    275,976.34x = 414,125.13 × 116,040.70
  4. Step 4: Simplify right side
    275,976.34x = 48,055,367,902.17
  5. Step 5: Solve for x
    x = 48,055,367,902.17/275,976.34
  6. Step 6: Final answer
    x = 174,128.58

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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.