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Finding the Fourth Proportional to 433,203.92, 649,892.50 and 133,673.24

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Solution

The fourth proportional to 433,203.92, 649,892.50 and 133,673.24 is: 200,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,203.92 : 649,892.50 = 133,673.24 : x
  2. Step 2: Convert to fraction form
    433,203.92/649,892.50 = 133,673.24/x
  3. Step 3: Cross multiply
    433,203.92x = 649,892.50 × 133,673.24
  4. Step 4: Simplify right side
    433,203.92x = 86,873,236,126.70
  5. Step 5: Solve for x
    x = 86,873,236,126.70/433,203.92
  6. Step 6: Final answer
    x = 200,536.59

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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.