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Finding the Fourth Proportional to 228,912.60, 343,271.70 and 110,620.20

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Solution

The fourth proportional to 228,912.60, 343,271.70 and 110,620.20 is: 165,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,912.60 : 343,271.70 = 110,620.20 : x
  2. Step 2: Convert to fraction form
    228,912.60/343,271.70 = 110,620.20/x
  3. Step 3: Cross multiply
    228,912.60x = 343,271.70 × 110,620.20
  4. Step 4: Simplify right side
    228,912.60x = 37,972,784,108.34
  5. Step 5: Solve for x
    x = 37,972,784,108.34/228,912.60
  6. Step 6: Final answer
    x = 165,883.33

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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.