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Finding the Fourth Proportional to 263,622.94, 363,800.81 and 148,902.95

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Solution

The fourth proportional to 263,622.94, 363,800.81 and 148,902.95 is: 205,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,622.94 : 363,800.81 = 148,902.95 : x
  2. Step 2: Convert to fraction form
    263,622.94/363,800.81 = 148,902.95/x
  3. Step 3: Cross multiply
    263,622.94x = 363,800.81 × 148,902.95
  4. Step 4: Simplify right side
    263,622.94x = 54,171,015,103.15
  5. Step 5: Solve for x
    x = 54,171,015,103.15/263,622.94
  6. Step 6: Final answer
    x = 205,486.73

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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.