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Finding the Fourth Proportional to 276,078.70, 414,118.05 and 164,104.30

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Solution

The fourth proportional to 276,078.70, 414,118.05 and 164,104.30 is: 246,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.70 : 414,118.05 = 164,104.30 : x
  2. Step 2: Convert to fraction form
    276,078.70/414,118.05 = 164,104.30/x
  3. Step 3: Cross multiply
    276,078.70x = 414,118.05 × 164,104.30
  4. Step 4: Simplify right side
    276,078.70x = 67,958,552,712.62
  5. Step 5: Solve for x
    x = 67,958,552,712.62/276,078.70
  6. Step 6: Final answer
    x = 246,156.45

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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.