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Finding the Fourth Proportional to 264,391.29, 364,866.32 and 143,537.67

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Solution

The fourth proportional to 264,391.29, 364,866.32 and 143,537.67 is: 198,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,391.29 : 364,866.32 = 143,537.67 : x
  2. Step 2: Convert to fraction form
    264,391.29/364,866.32 = 143,537.67/x
  3. Step 3: Cross multiply
    264,391.29x = 364,866.32 × 143,537.67
  4. Step 4: Simplify right side
    264,391.29x = 52,372,061,793.12
  5. Step 5: Solve for x
    x = 52,372,061,793.12/264,391.29
  6. Step 6: Final answer
    x = 198,085.43

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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.