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Finding the Fourth Proportional to 264,418.34, 364,895.28 and 143,557.22

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Solution

The fourth proportional to 264,418.34, 364,895.28 and 143,557.22 is: 198,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,418.34 : 364,895.28 = 143,557.22 : x
  2. Step 2: Convert to fraction form
    264,418.34/364,895.28 = 143,557.22/x
  3. Step 3: Cross multiply
    264,418.34x = 364,895.28 × 143,557.22
  4. Step 4: Simplify right side
    264,418.34x = 52,383,351,987.92
  5. Step 5: Solve for x
    x = 52,383,351,987.92/264,418.34
  6. Step 6: Final answer
    x = 198,107.86

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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.