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Finding the Fourth Proportional to 276,076.40, 414,053.01 and 107,601.26

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Solution

The fourth proportional to 276,076.40, 414,053.01 and 107,601.26 is: 161,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,076.40 : 414,053.01 = 107,601.26 : x
  2. Step 2: Convert to fraction form
    276,076.40/414,053.01 = 107,601.26/x
  3. Step 3: Cross multiply
    276,076.40x = 414,053.01 × 107,601.26
  4. Step 4: Simplify right side
    276,076.40x = 44,552,623,512.53
  5. Step 5: Solve for x
    x = 44,552,623,512.53/276,076.40
  6. Step 6: Final answer
    x = 161,377.88

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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.