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Finding the Fourth Proportional to 297,149.96, 445,790.51 and 110,161.46

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Solution

The fourth proportional to 297,149.96, 445,790.51 and 110,161.46 is: 165,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,149.96 : 445,790.51 = 110,161.46 : x
  2. Step 2: Convert to fraction form
    297,149.96/445,790.51 = 110,161.46/x
  3. Step 3: Cross multiply
    297,149.96x = 445,790.51 × 110,161.46
  4. Step 4: Simplify right side
    297,149.96x = 49,108,932,884.94
  5. Step 5: Solve for x
    x = 49,108,932,884.94/297,149.96
  6. Step 6: Final answer
    x = 165,266.50

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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.