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Finding the Fourth Proportional to 276,097.70, 414,146.55 and 164,123.30

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Solution

The fourth proportional to 276,097.70, 414,146.55 and 164,123.30 is: 246,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,097.70 : 414,146.55 = 164,123.30 : x
  2. Step 2: Convert to fraction form
    276,097.70/414,146.55 = 164,123.30/x
  3. Step 3: Cross multiply
    276,097.70x = 414,146.55 × 164,123.30
  4. Step 4: Simplify right side
    276,097.70x = 67,971,098,469.62
  5. Step 5: Solve for x
    x = 67,971,098,469.62/276,097.70
  6. Step 6: Final answer
    x = 246,184.95

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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.