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Finding the Fourth Proportional to 202,447.70, 303,921.15 and 127,567.70

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Solution

The fourth proportional to 202,447.70, 303,921.15 and 127,567.70 is: 191,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,447.70 : 303,921.15 = 127,567.70 : x
  2. Step 2: Convert to fraction form
    202,447.70/303,921.15 = 127,567.70/x
  3. Step 3: Cross multiply
    202,447.70x = 303,921.15 × 127,567.70
  4. Step 4: Simplify right side
    202,447.70x = 38,770,522,086.86
  5. Step 5: Solve for x
    x = 38,770,522,086.86/202,447.70
  6. Step 6: Final answer
    x = 191,508.83

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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.