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Finding the Fourth Proportional to 184,604.10, 276,906.15 and 137,948.10

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Solution

The fourth proportional to 184,604.10, 276,906.15 and 137,948.10 is: 206,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,604.10 : 276,906.15 = 137,948.10 : x
  2. Step 2: Convert to fraction form
    184,604.10/276,906.15 = 137,948.10/x
  3. Step 3: Cross multiply
    184,604.10x = 276,906.15 × 137,948.10
  4. Step 4: Simplify right side
    184,604.10x = 38,198,677,270.82
  5. Step 5: Solve for x
    x = 38,198,677,270.82/184,604.10
  6. Step 6: Final answer
    x = 206,922.15

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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.