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Finding the Fourth Proportional to 273,242.21, 377,120.34 and 201,829.37

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Solution

The fourth proportional to 273,242.21, 377,120.34 and 201,829.37 is: 278,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,242.21 : 377,120.34 = 201,829.37 : x
  2. Step 2: Convert to fraction form
    273,242.21/377,120.34 = 201,829.37/x
  3. Step 3: Cross multiply
    273,242.21x = 377,120.34 × 201,829.37
  4. Step 4: Simplify right side
    273,242.21x = 76,113,958,750.78
  5. Step 5: Solve for x
    x = 76,113,958,750.78/273,242.21
  6. Step 6: Final answer
    x = 278,558.57

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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.