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Finding the Fourth Proportional to 264,002.82, 364,321.68 and 149,304

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Solution

The fourth proportional to 264,002.82, 364,321.68 and 149,304 is: 206,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002.82 : 364,321.68 = 149,304 : x
  2. Step 2: Convert to fraction form
    264,002.82/364,321.68 = 149,304/x
  3. Step 3: Cross multiply
    264,002.82x = 364,321.68 × 149,304
  4. Step 4: Simplify right side
    264,002.82x = 54,394,684,110.72
  5. Step 5: Solve for x
    x = 54,394,684,110.72/264,002.82
  6. Step 6: Final answer
    x = 206,038.27

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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.