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Finding the Fourth Proportional to 243,906.10, 365,749.80 and 110,717.80

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Solution

The fourth proportional to 243,906.10, 365,749.80 and 110,717.80 is: 166,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,906.10 : 365,749.80 = 110,717.80 : x
  2. Step 2: Convert to fraction form
    243,906.10/365,749.80 = 110,717.80/x
  3. Step 3: Cross multiply
    243,906.10x = 365,749.80 × 110,717.80
  4. Step 4: Simplify right side
    243,906.10x = 40,495,013,206.44
  5. Step 5: Solve for x
    x = 40,495,013,206.44/243,906.10
  6. Step 6: Final answer
    x = 166,027.06

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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.