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Finding the Fourth Proportional to 276,047.70, 414,071.55 and 164,073.30

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Solution

The fourth proportional to 276,047.70, 414,071.55 and 164,073.30 is: 246,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.70 : 414,071.55 = 164,073.30 : x
  2. Step 2: Convert to fraction form
    276,047.70/414,071.55 = 164,073.30/x
  3. Step 3: Cross multiply
    276,047.70x = 414,071.55 × 164,073.30
  4. Step 4: Simplify right side
    276,047.70x = 67,938,085,644.62
  5. Step 5: Solve for x
    x = 67,938,085,644.62/276,047.70
  6. Step 6: Final answer
    x = 246,109.95

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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.