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Finding the Fourth Proportional to 273,198.28, 377,038.50 and 165,795.64

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Solution

The fourth proportional to 273,198.28, 377,038.50 and 165,795.64 is: 228,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,198.28 : 377,038.50 = 165,795.64 : x
  2. Step 2: Convert to fraction form
    273,198.28/377,038.50 = 165,795.64/x
  3. Step 3: Cross multiply
    273,198.28x = 377,038.50 × 165,795.64
  4. Step 4: Simplify right side
    273,198.28x = 62,511,339,412.14
  5. Step 5: Solve for x
    x = 62,511,339,412.14/273,198.28
  6. Step 6: Final answer
    x = 228,813.08

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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.