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Finding the Fourth Proportional to 264,395.20, 364,868.22 and 143,537.80

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Solution

The fourth proportional to 264,395.20, 364,868.22 and 143,537.80 is: 198,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,395.20 : 364,868.22 = 143,537.80 : x
  2. Step 2: Convert to fraction form
    264,395.20/364,868.22 = 143,537.80/x
  3. Step 3: Cross multiply
    264,395.20x = 364,868.22 × 143,537.80
  4. Step 4: Simplify right side
    264,395.20x = 52,372,381,588.72
  5. Step 5: Solve for x
    x = 52,372,381,588.72/264,395.20
  6. Step 6: Final answer
    x = 198,083.71

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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.