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Finding the Fourth Proportional to 272,046.20, 408,069.30 and 165,601.40

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Solution

The fourth proportional to 272,046.20, 408,069.30 and 165,601.40 is: 248,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,046.20 : 408,069.30 = 165,601.40 : x
  2. Step 2: Convert to fraction form
    272,046.20/408,069.30 = 165,601.40/x
  3. Step 3: Cross multiply
    272,046.20x = 408,069.30 × 165,601.40
  4. Step 4: Simplify right side
    272,046.20x = 67,576,847,377.02
  5. Step 5: Solve for x
    x = 67,576,847,377.02/272,046.20
  6. Step 6: Final answer
    x = 248,402.10

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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.