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Finding the Fourth Proportional to 450,103.23, 675,221.85 and 165,771.90

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Solution

The fourth proportional to 450,103.23, 675,221.85 and 165,771.90 is: 248,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,103.23 : 675,221.85 = 165,771.90 : x
  2. Step 2: Convert to fraction form
    450,103.23/675,221.85 = 165,771.90/x
  3. Step 3: Cross multiply
    450,103.23x = 675,221.85 × 165,771.90
  4. Step 4: Simplify right side
    450,103.23x = 111,932,808,996.02
  5. Step 5: Solve for x
    x = 111,932,808,996.02/450,103.23
  6. Step 6: Final answer
    x = 248,682.53

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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.