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Finding the Fourth Proportional to 218,213.78, 300,783.92 and 162,933.72

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Solution

The fourth proportional to 218,213.78, 300,783.92 and 162,933.72 is: 224,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,213.78 : 300,783.92 = 162,933.72 : x
  2. Step 2: Convert to fraction form
    218,213.78/300,783.92 = 162,933.72/x
  3. Step 3: Cross multiply
    218,213.78x = 300,783.92 × 162,933.72
  4. Step 4: Simplify right side
    218,213.78x = 49,007,843,001.78
  5. Step 5: Solve for x
    x = 49,007,843,001.78/218,213.78
  6. Step 6: Final answer
    x = 224,586.38

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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.