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Finding the Fourth Proportional to 276,425.14, 414,375 and 108,053.41

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Solution

The fourth proportional to 276,425.14, 414,375 and 108,053.41 is: 161,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,425.14 : 414,375 = 108,053.41 : x
  2. Step 2: Convert to fraction form
    276,425.14/414,375 = 108,053.41/x
  3. Step 3: Cross multiply
    276,425.14x = 414,375 × 108,053.41
  4. Step 4: Simplify right side
    276,425.14x = 44,774,631,768.75
  5. Step 5: Solve for x
    x = 44,774,631,768.75/276,425.14
  6. Step 6: Final answer
    x = 161,977.42

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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.