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Finding the Fourth Proportional to 310,553.37, 465,829.83 and 100,191.33

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Solution

The fourth proportional to 310,553.37, 465,829.83 and 100,191.33 is: 150,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,553.37 : 465,829.83 = 100,191.33 : x
  2. Step 2: Convert to fraction form
    310,553.37/465,829.83 = 100,191.33/x
  3. Step 3: Cross multiply
    310,553.37x = 465,829.83 × 100,191.33
  4. Step 4: Simplify right side
    310,553.37x = 46,672,110,221.37
  5. Step 5: Solve for x
    x = 46,672,110,221.37/310,553.37
  6. Step 6: Final answer
    x = 150,286.92

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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.