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Finding the Fourth Proportional to 228,976.38, 315,622.30 and 180,499.26

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Solution

The fourth proportional to 228,976.38, 315,622.30 and 180,499.26 is: 248,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,976.38 : 315,622.30 = 180,499.26 : x
  2. Step 2: Convert to fraction form
    228,976.38/315,622.30 = 180,499.26/x
  3. Step 3: Cross multiply
    228,976.38x = 315,622.30 × 180,499.26
  4. Step 4: Simplify right side
    228,976.38x = 56,969,591,589.50
  5. Step 5: Solve for x
    x = 56,969,591,589.50/228,976.38
  6. Step 6: Final answer
    x = 248,801.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.