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Finding the Fourth Proportional to 264,755.67, 397,444.54 and 165,145.11

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Solution

The fourth proportional to 264,755.67, 397,444.54 and 165,145.11 is: 247,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,755.67 : 397,444.54 = 165,145.11 : x
  2. Step 2: Convert to fraction form
    264,755.67/397,444.54 = 165,145.11/x
  3. Step 3: Cross multiply
    264,755.67x = 397,444.54 × 165,145.11
  4. Step 4: Simplify right side
    264,755.67x = 65,636,022,277.20
  5. Step 5: Solve for x
    x = 65,636,022,277.20/264,755.67
  6. Step 6: Final answer
    x = 247,911.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.