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Finding the Fourth Proportional to 218,292.96, 301,243.85 and 122,799.73

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Solution

The fourth proportional to 218,292.96, 301,243.85 and 122,799.73 is: 169,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,292.96 : 301,243.85 = 122,799.73 : x
  2. Step 2: Convert to fraction form
    218,292.96/301,243.85 = 122,799.73/x
  3. Step 3: Cross multiply
    218,292.96x = 301,243.85 × 122,799.73
  4. Step 4: Simplify right side
    218,292.96x = 36,992,662,998.05
  5. Step 5: Solve for x
    x = 36,992,662,998.05/218,292.96
  6. Step 6: Final answer
    x = 169,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.