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Finding the Fourth Proportional to 263,766.78, 363,989.70 and 150,589.53

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Solution

The fourth proportional to 263,766.78, 363,989.70 and 150,589.53 is: 207,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,766.78 : 363,989.70 = 150,589.53 : x
  2. Step 2: Convert to fraction form
    263,766.78/363,989.70 = 150,589.53/x
  3. Step 3: Cross multiply
    263,766.78x = 363,989.70 × 150,589.53
  4. Step 4: Simplify right side
    263,766.78x = 54,813,037,847.84
  5. Step 5: Solve for x
    x = 54,813,037,847.84/263,766.78
  6. Step 6: Final answer
    x = 207,808.72

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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.