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Finding the Fourth Proportional to 264,193.92, 364,579.38 and 149,463.90

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Solution

The fourth proportional to 264,193.92, 364,579.38 and 149,463.90 is: 206,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,193.92 : 364,579.38 = 149,463.90 : x
  2. Step 2: Convert to fraction form
    264,193.92/364,579.38 = 149,463.90/x
  3. Step 3: Cross multiply
    264,193.92x = 364,579.38 × 149,463.90
  4. Step 4: Simplify right side
    264,193.92x = 54,491,455,994.38
  5. Step 5: Solve for x
    x = 54,491,455,994.38/264,193.92
  6. Step 6: Final answer
    x = 206,255.53

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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.