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Finding the Fourth Proportional to 218,249.86, 301,014.13 and 141,793.56

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Solution

The fourth proportional to 218,249.86, 301,014.13 and 141,793.56 is: 195,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,249.86 : 301,014.13 = 141,793.56 : x
  2. Step 2: Convert to fraction form
    218,249.86/301,014.13 = 141,793.56/x
  3. Step 3: Cross multiply
    218,249.86x = 301,014.13 × 141,793.56
  4. Step 4: Simplify right side
    218,249.86x = 42,681,865,103.00
  5. Step 5: Solve for x
    x = 42,681,865,103.00/218,249.86
  6. Step 6: Final answer
    x = 195,564.23

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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.