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Finding the Fourth Proportional to 432,887.25, 649,299.92 and 133,336.56

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Solution

The fourth proportional to 432,887.25, 649,299.92 and 133,336.56 is: 199,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,887.25 : 649,299.92 = 133,336.56 : x
  2. Step 2: Convert to fraction form
    432,887.25/649,299.92 = 133,336.56/x
  3. Step 3: Cross multiply
    432,887.25x = 649,299.92 × 133,336.56
  4. Step 4: Simplify right side
    432,887.25x = 86,575,417,074.39
  5. Step 5: Solve for x
    x = 86,575,417,074.39/432,887.25
  6. Step 6: Final answer
    x = 199,995.30

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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.