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Finding the Fourth Proportional to 218,923.74, 327,893.52 and 133,302.69

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Solution

The fourth proportional to 218,923.74, 327,893.52 and 133,302.69 is: 199,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,923.74 : 327,893.52 = 133,302.69 : x
  2. Step 2: Convert to fraction form
    218,923.74/327,893.52 = 133,302.69/x
  3. Step 3: Cross multiply
    218,923.74x = 327,893.52 × 133,302.69
  4. Step 4: Simplify right side
    218,923.74x = 43,709,088,249.57
  5. Step 5: Solve for x
    x = 43,709,088,249.57/218,923.74
  6. Step 6: Final answer
    x = 199,654.40

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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.