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Finding the Fourth Proportional to 272,077.20, 408,115.80 and 171,912.60

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Solution

The fourth proportional to 272,077.20, 408,115.80 and 171,912.60 is: 257,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,077.20 : 408,115.80 = 171,912.60 : x
  2. Step 2: Convert to fraction form
    272,077.20/408,115.80 = 171,912.60/x
  3. Step 3: Cross multiply
    272,077.20x = 408,115.80 × 171,912.60
  4. Step 4: Simplify right side
    272,077.20x = 70,160,248,279.08
  5. Step 5: Solve for x
    x = 70,160,248,279.08/272,077.20
  6. Step 6: Final answer
    x = 257,868.90

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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.