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Finding the Fourth Proportional to 133,019.74, 199,528.89 and 33,179.68

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Solution

The fourth proportional to 133,019.74, 199,528.89 and 33,179.68 is: 49,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,019.74 : 199,528.89 = 33,179.68 : x
  2. Step 2: Convert to fraction form
    133,019.74/199,528.89 = 33,179.68/x
  3. Step 3: Cross multiply
    133,019.74x = 199,528.89 × 33,179.68
  4. Step 4: Simplify right side
    133,019.74x = 6,620,304,720.96
  5. Step 5: Solve for x
    x = 6,620,304,720.96/133,019.74
  6. Step 6: Final answer
    x = 49,769.34

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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.