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Finding the Fourth Proportional to 276,722.70, 415,084.05 and 164,748.30

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Solution

The fourth proportional to 276,722.70, 415,084.05 and 164,748.30 is: 247,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,722.70 : 415,084.05 = 164,748.30 : x
  2. Step 2: Convert to fraction form
    276,722.70/415,084.05 = 164,748.30/x
  3. Step 3: Cross multiply
    276,722.70x = 415,084.05 × 164,748.30
  4. Step 4: Simplify right side
    276,722.70x = 68,384,391,594.62
  5. Step 5: Solve for x
    x = 68,384,391,594.62/276,722.70
  6. Step 6: Final answer
    x = 247,122.45

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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.